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Relevant bibliographies by topics / Hyperbolic Geometry / Dissertations / Theses

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Dissertations / Theses on the topic 'Hyperbolic Geometry'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Markham, Sarah. "Hypercomplex hyperbolic geometry." Thesis, Durham University, 2003. http://etheses.dur.ac.uk/3698/.

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The rank one symmetric spaces of non-compact type are the real, complex, quaternionic and octonionic hyperbolic spaces. Real hyperbolic geometry is widely studied complex hyperbolic geometry less so, whilst quaternionic hyperbolic geometry is still in its infancy. The purpose of this thesis is to investigate the conditions for discrete group action in quaternionic and octonionic hyperbolic 2-spaces and their geometric consequences, in the octonionic case, in terms of lower bounds on the volumes of non-compact manifolds. We will also explore the eigenvalue problem for the 3 x 3 octonionic matri

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2

Marshall, T. H. (Timothy Hamilton). "Hyperbolic Geometry and Reflection Groups." Thesis, University of Auckland, 1994. http://hdl.handle.net/2292/2140.

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The n-dimensional pseudospheres are the surfaces in Rn+l given by the equations x12+x22+...+xk2-xk+12-...-xn+12=1(1 ≤ k ≤ n+1). The cases k=l, n+1 give, respectively a pair of hyperboloids, and the ordinary n-sphere. In the first chapter we consider the pseudospheres as surfaces h En+1,k, where Em,k=Rk x (iR)m-k, and investigate their geometry in terms of the linear algebra of these spaces. The main objects of investigation are finite sequences of hyperplanes in a pseudosphere. To each such sequence we associate a square symmetric matrix, the Gram matrix, which gives information about angle an

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3

Murray, Marilee Anne. "Hyperbolic Geometry and Coxeter Groups." Bowling Green State University / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1343040882.

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4

Walker, Mairi. "Continued fractions and hyperbolic geometry." Thesis, Open University, 2016. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.700134.

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This thesis uses hyperbolic geometry to study various classes of both real and complex continued fractions. This intuitive approach gives insight into the theory of continued fractions that is not so easy to obtain from traditional algebraic methods. Using it, we provide a more extensive study of both Rosen continued fractions and even-integer continued fractions than many previous works, yielding new results, and revisiting classical theorems. We also study two types of complex continued fractions, namely Gaussian integer continued fractions and Bianchi continued fractions. As well as providi

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5

Thorgeirsson, Sverrir. "Hyperbolic geometry: history, models, and axioms." Thesis, Uppsala universitet, Algebra och geometri, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-227503.

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6

Gharamti, Moustafa. "Supersymmetry and geometry of hyperbolic monopoles." Thesis, University of Edinburgh, 2015. http://hdl.handle.net/1842/10479.

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This thesis studies the geometry of hyperbolic monopoles using supersymmetry in four and six dimensions. On the one hand, we show that starting with a four dimensional supersymmetric Yang-Mills theory provides the necessary information to study the geometry of the complex moduli space of hyperbolic monopoles. On the other hand, we require to start with a six dimensional supersymmetric Yang-Mills theory to study the geometry of the real moduli space of hyperbolic monopoles. In chapter two, we construct an off-shell supersymmetric Yang-Mills-Higgs theory with complex fields on three-dimensional

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7

Rippy, Scott Randall. "Applications of hyperbolic geometry in physics." CSUSB ScholarWorks, 1996. https://scholarworks.lib.csusb.edu/etd-project/1099.

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8

Naeve, Trent Phillip. "Conics in the hyperbolic plane." CSUSB ScholarWorks, 2007. https://scholarworks.lib.csusb.edu/etd-project/3075.

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An affine transformation such as T(P)=Q is a locus of an affine conic. Any affine conic can be produced from this incidence construction. The affine type of conic (ellipse, parabola, hyperbola) is determined by the invariants of T, the determinant and trace of its linear part. The purpose of this thesis is to obtain a corresponding classification in the hyperbolic plane of conics defined by this construction.

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9

Bowen, Lewis Phylip. "Density in hyperbolic spaces." Access restricted to users with UT Austin EID Full text (PDF) from UMI/Dissertation Abstracts International, 2002. http://wwwlib.umi.com/cr/utexas/fullcit?p3077409.

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10

Saratchandran, Hemanth. "Four dimensional hyperbolic link complements via Kirby calculus." Thesis, University of Oxford, 2015. http://ora.ox.ac.uk/objects/uuid:ba72ee75-c22f-4800-a38c-76e5cf411ad9.

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The primary aim of this thesis is to construct explicit examples of four dimensional hyperbolic link complements. Using the theory of Kirby diagrams and Kirby calculus we set up a general framework that one can use to attack such a problem. We use this framework to construct explicit examples in a smooth standard S<sup>4</sup> and a smooth standard S<sup>2</sup> x S<sup>2</sup>. We then characterise which homeomorphism types of smooth simply connected closed 4-manifolds can admit a hyperbolic link complement, along the way giving constructions of explicit examples.

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11

Barrett, Benjamin James. "Detecting topological properties of boundaries of hyperbolic groups." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/285572.

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In general, a finitely presented group can have very nasty properties, but many of these properties are avoided if the group is assumed to admit a nice action by isometries on a space with a negative curvature property, such as Gromov hyperbolicity. Such groups are surprisingly common: there is a sense in which a random group admits such an action, as do some groups of classical interest, such as fundamental groups of closed Riemannian manifolds with negative sectional curvature. If a group admits an action on a Gromov hyperbolic space then large scale properties of the space give useful invar

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12

Heard, Damian. "Computation of hyperbolic structures on 3 dimensional orbifolds /." Connect to theis, 2005. http://eprints.unimelb.edu.au/archive/00001577.

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13

Raghuvanshi, Anurag. "Particle filter with Hyperbolic Measurements and Geometry Constraints." Ohio University / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1366724596.

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14

Long, Yusen. "Diverse aspects of hyperbolic geometry and group dynamics." Electronic Thesis or Diss., université Paris-Saclay, 2024. http://www.theses.fr/2024UPASM016.

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Cette thèse explore divers sujets liés à la géométrie hyperbolique et à la dynamique de groupes, dans le but d'étudier l'interaction entre la géométrie et la théorie de groupes. Elle couvre un large éventail de disciplines mathématiques, telles que la géométrie convexe, l'analyse stochastique, la théorie ergodiques et géométriques de groupes, et la topologie en basses dimensions, et cætera. Comme résultats de recherche, la géométrie hyperbolique des corps convexes en dimension infinie est examinée en profondeur, et des tentatives sont faites pour développer la géométrie intégrale en dimension

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15

Ross, Skyler W. "Non-Euclidean Geometry." Fogler Library, University of Maine, 2000. http://www.library.umaine.edu/theses/pdf/RossSW2000.pdf.

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16

Dario, Douglas Francisco. "Geometrias não euclidianas: elíptica e hiperbólica no ensino médio." Universidade Tecnológica Federal do Paraná, 2014. http://repositorio.utfpr.edu.br/jspui/handle/1/862.

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Este trabalho tem como objetivo colaborar na inserção do ensino das Geometrias Não Euclidianas no ensino médio. Para tanto, fizemos uma pesquisa bibliográfica sobre o surgimento de tais Geometrias, em seguida apresentamos uma sequência de conteúdos para o ensino das Geometrias Elíptica e Hiperbólica, abordando os principais tópicos elencados pelas Diretrizes Curriculares do Estado do Paraná, comparando-as sempre que possível com a Geometria Euclidiana. Esclarecemos que onde citamos Geometria Elíptica, estamos realmente tratando da Geometria da Superfície Esférica, para que este trabalho

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17

Senger, Steven Iosevich Alex. "Erdős distance problem in the hyperbolic half-plane." Diss., Columbia, Mo. : University of Missouri--Columbia, 2009. http://hdl.handle.net/10355/5341.

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The entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file. Title from PDF of title page (University of Missouri--Columbia, viewed on January 14, 2010). Thesis advisor: Dr. Alex Iosevich. Includes bibliographical references.

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18

Valero, Carlos. "On the geometry and topology of hyperbolic variational symbols." Thesis, University of Oxford, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.302354.

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19

Butler, Joe R. "The Torus Does Not Have a Hyperbolic Structure." Thesis, University of North Texas, 1992. https://digital.library.unt.edu/ark:/67531/metadc500333/.

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Several basic topics from Algebraic Topology, including fundamental group and universal covering space are shown. The hyperbolic plane is defined, including its metric and show what the "straight" lines are in the plane and what the isometries are on the plane. A hyperbolic surface is defined, and shows that the two hole torus is a hyperbolic surface, the hyperbolic plane is a universal cover for any hyperbolic surface, and the quotient space of the universal cover of a surface to the group of automorphisms on the covering space is equivalent to the original surface.

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20

Praggastis, Brenda L. "Markov partitions for hyperbolic toral automorphisms /." Thesis, Connect to this title online; UW restricted, 1992. http://hdl.handle.net/1773/5773.

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21

Logan, Deborah F. "A General Theory of Geodesics with Applications to Hyperbolic Geometry." UNF Digital Commons, 1995. http://digitalcommons.unf.edu/etd/101.

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In this thesis, the geometry of curved surfaces is studied using the methods of differential geometry. The introduction of manifolds assists in the study of classical two-dimensional surfaces. To study the geometry of a surface a metric, or way to measure, is needed. By changing the metric on a surface, a new geometric surface can be obtained. On any surface, curves called geodesics play the role of "straight lines" in Euclidean space. These curves minimize distance locally but not necessarily globally. The curvature of a surface at each point p affects the behavior of geodesics and the constr

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22

Jones, Gavin L. "The iteration theory of Blaschke products." Thesis, University of Cambridge, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.308237.

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23

Haxhi, Karen Kleinschmidt. "The euclidean and hyperbolic geometry underlying M.C. Escher's regular division designs /." View abstract, 1998. http://library.ctstateu.edu/ccsu%5Ftheses/1491.html.

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Thesis (M.S.) -- Central Connecticut State University, 1998.<br>Thesis advisor: Dr. Jeffrey McGowan. "...in partial fulfillment of the requirements for the degree of Master of Science." Includes bibliographical references (leaves [78-79]).

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24

Masters, Joseph David. "Lengths and homology of hyperbolic 3-manifolds /." Digital version accessible at:, 1999. http://wwwlib.umi.com/cr/utexas/main.

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25

Kuhlmann, Sally Malinda. "Geodesic knots in hyperbolic 3 manifolds." Connect to thesis, 2005. http://repository.unimelb.edu.au/10187/916.

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This thesis is an investigation of simple closed geodesics, or geodesic knots, in hyperbolic 3-manifolds.<br>Adams, Hass and Scott have shown that every orientable finite volume hyperbolic 3-manifold contains at least one geodesic knot. The first part of this thesis is devoted to extending this result. We show that all cusped and many closed orientable finite volume hyperbolic 3-manifolds contain infinitely many geodesic knots. This is achieved by studying infinite families of closed geodesics limiting to an infinite length geodesic in the manifold. In the cusped manifold case the limiting g

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26

Venzke, Rupert William Calegari Danny Calegari Danny. "Braid forcing, hyperbolic geometry, and pseudo-Anosov sequences of low entropy /." Diss., Pasadena, Calif. : Caltech, 2008. http://resolver.caltech.edu/CaltechETD:etd-05292008-085545.

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27

FARACO, Gianluca. "The Geometry Awakens: on the relationship between holonomy and hyperbolic structures." Doctoral thesis, Università degli studi di Ferrara, 2018. http://hdl.handle.net/11392/2487998.

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This thesis examines the relationship between branched hyperbolic structures on surfaces and representations of the fundamental group into $\pslr$. A branched hyperbolic structure on a surface $S$ is a hyperbolic cone-structure such that the angle around any interior cone point is an integer multiple of $2\pi$.\\ Any such structure determines a holonomy representation of the fundamental group $\rho:\pi_1S\longrightarrow \pslr$. We ask, conversely, when a representation of the fundamental group arises as holonomy of a branched hyperbolic structure. We consider only $2-$dimensional hyperbolic st

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28

Valério, José Carlos. "Introdução à geometria hiperbólica." Universidade Federal de Juiz de Fora (UFJF), 2017. https://repositorio.ufjf.br/jspui/handle/ufjf/5405.

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Submitted by Renata Lopes (renatasil82@gmail.com) on 2017-07-03T19:23:35Z No. of bitstreams: 1 josecarlosvalerio.pdf: 982623 bytes, checksum: 72d4cd36b83464bfd6a83caee289315d (MD5)<br>Approved for entry into archive by Adriana Oliveira (adriana.oliveira@ufjf.edu.br) on 2017-08-08T13:23:10Z (GMT) No. of bitstreams: 1 josecarlosvalerio.pdf: 982623 bytes, checksum: 72d4cd36b83464bfd6a83caee289315d (MD5)<br>Made available in DSpace on 2017-08-08T13:23:10Z (GMT). No. of bitstreams: 1 josecarlosvalerio.pdf: 982623 bytes, checksum: 72d4cd36b83464bfd6a83caee289315d (MD5) Previous issue date: 20

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29

Saber, Hicham. "Equivariant Functions for the Möbius Subgroups and Applications." Thèse, Université d'Ottawa / University of Ottawa, 2011. http://hdl.handle.net/10393/20236.

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The aim of this thesis is to give a self-contained introduction to the hyperbolic geometry and the theory of discrete subgroups of PSL(2,R), and to generalize the results on equivariant functions. We show that there is a deep relation between the geometry of the group and some analytic and algebraic properties of these functions. In addition, we provide some applications of equivariant functions consisting of new results as well as providing new and simple proofs to classical results on automorphic forms.

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30

Marfai, Frank S. "Hyperbolic transformations on cubics in H²." CSUSB ScholarWorks, 2003. https://scholarworks.lib.csusb.edu/etd-project/142.

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The purpose of this thesis is to study the effects of hyperbolic transformations on the cubic that is determined by locus of centroids of the equilateral triangles in H² whose base coincides with the line y=0, and whose common vertex is at the origin. The derivation of the formulas within this work are based on the Poincaré disk model of H², where H² is understood to mean the hyperbolic plane. The thesis explores the properties of both the untransformed cubic (the original locus of centroids) and the transformed cubic (the original cubic taken under a linear fractional transformation).

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31

Silva, Paul Jerome. "Investigation of the effectiveness of interface constraints in the solution of hyperbolic second-order differential equations." CSUSB ScholarWorks, 2000. https://scholarworks.lib.csusb.edu/etd-project/1953.

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Solutions to differential equations describing the behavior of physical quantities (e.g., displacement, temperature, electric field strength) often only have finite range of validity over a subdomain. Interest beyond the subdomain often arises. As a result, the problem of making the solution compatible across the connecting subdomain interfaces must be dealt with. Four different compatibility methods are examined here for hyperbolic (time varying) second-order differential equations. These methods are used to match two different solutions, one in each subdomain along the connecting interface.

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32

Haapalainen, M. (Mikko). "Dielectrophoretic mobility of a spherical particle in 2D hyperbolic quadrupole electrode geometry." Doctoral thesis, Oulun yliopisto, 2013. http://urn.fi/urn:isbn:9789526202648.

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Abstract The dielectric properties of material are of importance in various industrial and scientific applications of measurement technology. These properties are usually measured by microwave sensors, methods that provide an average result of the entire sample volume. However, the need to know the dielectric properties of single particles has increased in various segments. Dielectrophoresis (DEP) as a method provides a way to determine dielectric properties, such as permittivity and conductivity, of single particles with good precision by using a sufficiently simple system. In this thesis the

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33

ROSMONDI, DANIELE. "Earthquakes on hyperbolic surfaces with geodesic boundary and Anti de Sitter geometry." Doctoral thesis, Università degli studi di Pavia, 2017. http://hdl.handle.net/11571/1203304.

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34

Rossini, Marcela Aparecida Penteado. "Um estudo sobre o uso de régua, compasso e um software de geometria dinâmica no ensino da geometria hiperbólica /." Rio Claro : [s.n.], 2010. http://hdl.handle.net/11449/91137.

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Orientador: Claudemir Murari<br>Banca: Ruy Madsen Barbosa<br>Banca: Geraldo Perez<br>Resumo: O principal objetivo deste trabalho foi contribuir para o ensino e aprendizagem da geometria hiperbólica, apresentando uma proposta que visa à introdução do estudo dessa geometria, utilizando o software Cabri - Géomètre II (menu hiperbólico) e, também, a régua e o compasso na abordagem dos conceitos fundamentais. Procedemos desta maneira por entendermos que estes recursos integrados podem cooperar para uma melhor compreensão e assimilação das noções apresentadas. Esta pesquisa tem abordagem do tipo qua

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35

Weed, Michael. "The anatomy of hyperbolic trajectories in the Gulf of Mexico." Access to citation, abstract and download form provided by ProQuest Information and Learning Company; downloadable PDF file 2.59 Mb., 169 p, 2006. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:1432294.

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36

Hidalgo, Joshua L. "A KLEINIAN APPROACH TO FUNDAMENTAL REGIONS." CSUSB ScholarWorks, 2014. https://scholarworks.lib.csusb.edu/etd/35.

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This thesis takes a Kleinian approach to hyperbolic geometry in order to illustrate the importance of discrete subgroups and their fundamental domains (fundamental regions). A brief history of Euclids Parallel Postulate and its relation to the discovery of hyperbolic geometry be given first. We will explore two models of hyperbolic $n$-space: $U^n$ and $B^n$. Points, lines, distances, and spheres of these two models will be defined and examples in $U^2$, $U^3$, and $B^2$ will be given. We will then discuss the isometries of $U^n$ and $B^n$. These isometries, known as M\"obius transformations,

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37

Arcari, Inedio. "Um texto de geometria hiperbólica." [s.n.], 2008. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307016.

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Orientador: Edson Agustini<br>Dissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação<br>Made available in DSpace on 2018-08-11T06:10:14Z (GMT). No. of bitstreams: 1 Arcari_Inedio_M.pdf: 2739163 bytes, checksum: 0ea17bdba620035f3cb29f9033fab926 (MD5) Previous issue date: 2008<br>Resumo: A presente dissertação é um texto introdutório de Geometria Hiperbólica com alguns resultados e comentários de Geometria Elíptica. Nossa intenção foi compilar um material que possa ser utilizado em cursos introdutórios de Geometria Hiperbólica

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38

Kume, Alfred. "On the Frechet means in simplex shape spaces." Thesis, University of Nottingham, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.368237.

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Franco, Felipe de Aguilar. "On spaces of special elliptic n-gons." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-22032019-081425/.

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We study relations between special elliptic isometries in the complex hyperbolic plane. A special elliptic isometry can be seen as a rotation around a fixed axis (a complex geodesic). Such an isometry is determined by specifying a nonisotropic point p (the polar point to the fixed axis) and a unitary complex number a, the angle of the isometry. Any relation between special elliptic isometries with rational angles gives rise to a representation H(k1;:::;kn) → PU(2;1), where H(k1;:::;kn) : = &lang; r1; : : : ; rn ∣ rn : : : r1> = 1; rkii = 1 &rang; and PU(2;1) stands for the group o

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40

Garza, César. "Examples of hyperbolic knots with distance 3 toroidal surgeries in S³." To access this resource online via ProQuest Dissertations and Theses @ UTEP, 2009. http://0-proquest.umi.com.lib.utep.edu/login?COPT=REJTPTU0YmImSU5UPTAmVkVSPTI=&clientId=2515.

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Burton, Stephan Daniel. "Unknotting Tunnels of Hyperbolic Tunnel Number n Manifolds." BYU ScholarsArchive, 2012. https://scholarsarchive.byu.edu/etd/3307.

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Adams conjectured that unknotting tunnels of tunnel number 1 manifolds are always isotopic to a geodesic. We generalize this question to tunnel number n manifolds. We find that there exist complete hyperbolic structures and a choice of spine of a compression body with genus 1 negative boundary and genus n ≥ 3 outer boundary for which (n−2) edges of the spine self-intersect. We use this to show that there exist finite volume one-cusped hyperbolic manifolds with a system of n tunnels for which (n−1) of the tunnels are homotopic to geodesics arbitrarily close to self-intersecting. This gives evid

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Sisto, Alessandro. "Geometric and probabilistic aspects of groups with hyperbolic features." Thesis, University of Oxford, 2013. http://ora.ox.ac.uk/objects/uuid:bcf456c4-eef0-4fe8-bb7d-8b15f9cf7b18.

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The main objects of interest in this thesis are relatively hyperbolic groups. We will study some of their geometric properties, and we will be especially concerned with geometric properties of their boundaries, like linear connectedness, avoidability of parabolic points, etc. Exploiting such properties will allow us to construct, under suitable hypotheses, quasi-isometric embeddings of hyperbolic planes into relatively hyperbolic groups and quasi-isometric embeddings of relatively hyperbolic groups into products of trees. Both results have applications to fundamental groups of 3-manifolds. We

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Anaya, Bob. "Fuchsian Groups." CSUSB ScholarWorks, 2019. https://scholarworks.lib.csusb.edu/etd/838.

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Fuchsian groups are discrete subgroups of isometries of the hyperbolic plane. This thesis will primarily work with the upper half-plane model, though we will provide an example in the disk model. We will define Fuchsian groups and examine their properties geometrically and algebraically. We will also discuss the relationships between fundamental regions, Dirichlet regions and Ford regions. The goal is to see how a Ford region can be constructed with isometric circles.

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Pilla, Eliane Cristina Geroli. "Construções de constelações de sinais geometricamente uniformes hiperbólicas." [s.n.], 2005. http://repositorio.unicamp.br/jspui/handle/REPOSIP/259790.

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Orientador: Reginaldo Palazzo Júnior<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Elétrica e de Computação<br>Made available in DSpace on 2018-08-18T16:43:26Z (GMT). No. of bitstreams: 1 Pilla_ElianeCristinaGeroli_M.pdf: 2007393 bytes, checksum: 2b95255e6d4fca123c23a039d1a083a5 (MD5) Previous issue date: 2005<br>Resumo: O presente trabalho tem como meta principal construir constelações de sinais geometricamente uniformes no plano hiperbólico, visando considerá-las como alfabeto para geração de códigos de espaço de sinais, em particular os códigos de

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45

Persson, Anna. "Grundläggande hyperbolisk geometri." Thesis, Karlstad University, Faculty of Technology and Science, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-211.

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<p>I denna uppsats presenteras grundläggande delar av hyperbolisk geometri. Uppsatsen är indelad i två kapitel. I första kapitlet studeras Möbiusavbildningar på Riemannsfären. Andra kapitlet presenterar modellen av hyperbolisk geometri i övre halvplanet H, skapad av Poincaré på 1880-talet.</p><p>Huvudresultatet i uppsatsen är Gauss – Bonnét´s sats för hyperboliska trianglar.</p><br><p>In this thesis we present fundamental concepts in hyperbolic geometry. The thesis is divided into two chapters. In the first chapter we study Möbiustransformations on the Riemann sphere. The second part of the th

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Galli, Daniele. "The Selberg Zeta Function: A golden thread through hyperbolic geometry, dynamics and number theory." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2019. http://amslaurea.unibo.it/18781/.

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This thesis deals with the profound relationship that exists between the dynamics on surfaces of negative curvature, some spectral aspects of hyperbolic geometry, and the ergodic properties of continued fractions. One of the most elegant results to reveal the connections between the geodesic flow on a surface of constant negative curvature and the spectrum of the Laplace-Beltrami operator is the celebrated trace formula of Selberg. From a standpoint which is not that of this thesis, one could say that any such trace formula represents one of the most direct connections between observations of

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47

Biswas, Debapriya. "Geometry of elliptic, parabolic and hyperbolic homogeneous spaces using Clifford algebras and group representations." Thesis, University of Leeds, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.432297.

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Strzheletska, Elena. "The Euler Line in non-Euclidean geometry." CSUSB ScholarWorks, 2003. https://scholarworks.lib.csusb.edu/etd-project/2443.

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The main purpose of this thesis is to explore the conditions of the existence and properties of the Euler line of a triangle in the hyperbolic plane. Poincaré's conformal disk model and Hermitian matrices were used in the analysis.ʹ

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Rossini, Marcela Aparecida Penteado [UNESP]. "Um estudo sobre o uso de régua, compasso e um software de geometria dinâmica no ensino da geometria hiperbólica." Universidade Estadual Paulista (UNESP), 2010. http://hdl.handle.net/11449/91137.

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Made available in DSpace on 2014-06-11T19:24:55Z (GMT). No. of bitstreams: 0 Previous issue date: 2010-04-12Bitstream added on 2014-06-13T20:52:49Z : No. of bitstreams: 1 rossini_map_me_rcla.pdf: 3173837 bytes, checksum: 262f12484461eccfd7aff81dfec3e0c2 (MD5)<br>O principal objetivo deste trabalho foi contribuir para o ensino e aprendizagem da geometria hiperbólica, apresentando uma proposta que visa à introdução do estudo dessa geometria, utilizando o software Cabri - Géomètre II (menu hiperbólico) e, também, a régua e o compasso na abordagem dos conceitos fundamentais. Procedemos desta man

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Genevois, Anthony. "Cubical-like geometry of quasi-median graphs and applications to geometric group theory." Thesis, Aix-Marseille, 2017. http://www.theses.fr/2017AIXM0569/document.

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La classe des graphes quasi-médians est une généralisation des graphes médians, ou de manière équivalente, des complexes cubiques CAT(0). L'objectif de cette thèse est d'introduire ces graphes dans le monde de la théorie géométrique des groupes. Dans un premier temps, nous étendons la notion d'hyperplan définie dans les complexes cubiques CAT(0), et nous montrons que la géométrie d'un graphe quasi-médian se réduit essentiellement à la combinatoire de ses hyperplans. Dans la deuxième partie de notre texte, qui est le cœur de la thèse, nous exploitons la structure particulière des hyperplans pou

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