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Dissertations / Theses on the topic 'Three-manifolds'

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Published: 4 June 2021

Last updated: 19 February 2022

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1

Mijatović, Aleksandar. "Triangulations of three-manifolds." Thesis, University of Cambridge, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.619611.

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2

Newman-Gomez, Sharon Angela. "State sum invariants of three manifolds." CSUSB ScholarWorks, 1998. https://scholarworks.lib.csusb.edu/etd-project/1510.

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3

Cremaschi, Tommaso. "Hyperbolic 3-manifolds of infinite type:." Thesis, Boston College, 2019. http://hdl.handle.net/2345/bc-ir:108468.

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Thesis advisor: Ian Biringer<br>In this thesis we study the class of 3-manifolds that admit a compact exhaustion by hyperbolizable 3-manifolds with incompressible boundary and such that the genus of the boundary components of the elements in the exhaustion is uniformly bounded. For this class we give necessary and sufficient topological conditions that guarantee the existence of a complete hyperbolic metric<br>Thesis (PhD) — Boston College, 2019<br>Submitted to: Boston College. Graduate School of Arts and Sciences<br>Discipline: Mathematics

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4

Wang, Bai-Ling. "Seiberg-Witten monopoles on three-manifolds /." Title page, abstract and contents only, 1997. http://web4.library.adelaide.edu.au/theses/09PH/09phw2455.pdf.

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5

Howards, Hugh Nelson. "Curves and surfaces in three-manifolds /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 1997. http://wwwlib.umi.com/cr/ucsd/fullcit?p9732691.

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6

Braam, Peter J. "Magnetic monopoles and hyperbolic three-manifolds." Thesis, University of Oxford, 1987. http://ora.ox.ac.uk/objects/uuid:daa73d43-6d58-404c-9926-ebf23f59cfc6.

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Let M = H<sup>3</sup>/Γ be a complete, non-compact, oriented geometrically finite hyperbolic 3-manifold without cusps. By constructing a conformal compactification of M x S<sup>1</sup> we functorially associate to M an oriented, conformally flat, compact 4-manifold X (without boundary) with an S<sup>1</sup>-action. X determines M as a hyperbolic manifold. Using our functor and the differential geometry of conformally flat 4-manifolds we prove that any Γ as above with a limit set of Hausdorff dimension ≤ 1 is Schottky, Fuchsian or extended Fuchsian. Furthermore, the Hodge theory for H<sup>2</su

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7

Haynes, Elizabeth Lydia. "Smale Flows on Three Dimensional Manifolds." OpenSIUC, 2012. https://opensiuc.lib.siu.edu/dissertations/470.

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We discuss how to realize simple Smale Flows on 3-manifolds. We focus on three questions: (1) What are the topological conjugate classes of Lorenz Smale flows that can be realized on S3? (2) Which 3-manifolds can also admit a Lorenz Smale flow? (3) What are the topological conjugate classes of simple Smale flows whose saddle set can be modeled by &nu(0+,0+,0,0) can be realized on S3? This dissertation extends the work of M. Sullivan and B. Yu.

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8

Breinlinger, Keith J. (Keith Joseph) 1974. "Three-dimensional routed manifolds with externally inserted cables." Thesis, Massachusetts Institute of Technology, 2003. http://hdl.handle.net/1721.1/29624.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2003.<br>Includes bibliographical references (p. 253-259).<br>The Automatic Test Equipment industry must maintain a tester accuracy of roughly one tenth the pulsewidth of the device under test (DUT). Funneling a vast number of electrical signals into a very tiny area to contact the DUT while still maintaining good signal fidelity is a problem not only in the ATE industry, but also for personal computers, network servers and supercomputers. As the speed of processors increase, ATE companies must find new wa

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9

Adhikari, Kamal Mani. "Realizations of simple Smale flows on three-manifolds." OpenSIUC, 2016. https://opensiuc.lib.siu.edu/dissertations/1250.

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In this dissertation, we discuss how to realize simple Smale flows on 3-manifolds. We use four-band and three-band templates to study the linking structure of two types of closed orbits known as attracting closed orbits and repelling closed orbits in the flow. This dissertation extends the work done by M. Sullivan on realizing Lorenz Smale flows on 3-manifolds, by Bin Yu on realizing Lorenz-like Smale flows on 3-manifolds and continues the work of Elizabeth Haynes and Michael Sullivan on realizing simple Smale flows with a four-band template on a 3-sphere. The four-band template we use in

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10

Alcaraz, Karin. "The Alexander polynomial of closed 3-manifolds." Thesis, University of Oxford, 2011. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.564280.

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11

Clement, Juan Souto Kleineidam Gero. "Geometric structures on 3-manifolds and their deformations." Bonn : Mathematisches Institut der Universität, 2001. http://catalog.hathitrust.org/api/volumes/oclc/52313822.html.

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12

Marcotte, Cynthia Janet Verjovsky. "Essential surfaces after Dehn filling /." Full text (PDF) from UMI/Dissertation Abstracts International, 2000. http://wwwlib.umi.com/cr/utexas/fullcit?p9992864.

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13

Durusoy, Daniel Selahi. "Heegaard Floer homology of certain 3-manifolds and cobordism invariants." Diss., Connect to online resource - MSU authorized users, 2008.

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14

Casey, Meredith Perrie. "Branched covers of contact manifolds." Diss., Georgia Institute of Technology, 2013. http://hdl.handle.net/1853/50313.

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We will discuss what is known about the construction of contact structures via branched covers, emphasizing the search for universal transverse knots. Recall that a topological knot is called universal if all 3-manifold can be obtained as a cover of the 3-sphere branched over that knot. Analogously one can ask if there is a transverse knot in the standard contact structure on S³ from which all contact 3-manifold can be obtained as a branched cover over this transverse knot. It is not known if such a transverse knot exists.

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15

Neil, John Ralph. "Tunnel One Generalized Satellite Knots." PDXScholar, 1995. https://pdxscholar.library.pdx.edu/open_access_etds/1273.

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In 1984, T. Kobayashi gave a classification of the genus two 3-manifolds with a nontrivial torus decomposition. The intent of this study is to extend this classification to the genus two, torally bounded 3-manifolds with a separating non-trivial torus decomposition. These 3-manifolds are also known as the tunnel-1 generalized satellite knot exteriors. The main result of the study is a full decomposition of the exterior of a tunnel-1 satellite knot in an arbitrary 3-manifold. Several corollaries are drawn from this classification. First, Schubert's 1953 results regarding the existence and uniqu

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16

Blumen, Sacha Carl. "Quantum Superalgebras at Roots of Unity and Topological Invariants of Three-manifolds." University of Sydney. School of Mathematics and Statistics, 2005. http://hdl.handle.net/2123/715.

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The general method of Reshetikhin and Turaev is followed to develop topological invariants of closed, connected, orientable 3-manifolds from a new class of algebras called pseudomodular Hopf algebras. Pseudo-modular Hopf algebras are a class of Z_2-graded ribbon Hopf algebras that generalise the concept of a modular Hopf algebra. The quantum superalgebra Uq(osp(1|2n)) over C is considered with q a primitive Nth root of unity for all integers N &gt = 3. For such a q, a certain left ideal I of U_q(osp(1|2n)) is also a two-sided Hopf ideal, and the quotient algebra U^(N)_q(osp(1|2n)) = U_q(os

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17

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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18

Jarabek, Raquel L. "Investigation of manifolds and optimized trajectories in the three-body problem." College Park, Md. : University of Maryland, 2004. http://hdl.handle.net/1903/2120.

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Thesis (M.S.) -- University of Maryland, College Park, 2004.<br>Thesis research directed by: Dept. of Aerospace Engineering. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.

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19

Thomas, Joseph. "Conformal Variations of Piecewise Constant Curvature Two and Three Dimensional Manifolds." Diss., The University of Arizona, 2015. http://hdl.handle.net/10150/560854.

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Piecewise constant curvature manifolds are discrete analogues of Riemannian manifolds in which edge lengths play the role of the metric tensor. These triangulated manifolds are specified by two types of data: 1. Each edge in the triangulation is assigned a real-valued length. 2. For each simplex in the triangulation, there exists an isometric embedding of that simplex into one of three background geometries (Euclidean, hyperbolic, or spherical). In particular, this isometry respects the edge length data. By making the edge lengths functions of scalars, called conformal parameters, that are ass

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20

Ross, Shane David Marsden Jerrold E. "Cylindrical manifolds and tube dynamics in the restricted three-body problem /." Diss., Pasadena, Calif. : California Institute of Technology, 2004. http://resolver.caltech.edu/CaltechETD:etd-05182004-154045.

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21

Difonzo, Fabio Vito. "The Filippov moments solution on the intersection of two and three manifolds." Diss., Georgia Institute of Technology, 2015. http://hdl.handle.net/1853/54388.

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In this thesis, we study the Filippov moments solution for differential equations with discontinuous right-hand side. In particular, our aim is to define a suitable Filippov sliding vector field on a co-dimension $2$ manifold $\Sigma$, intersection of two co-dimension $1$ manifolds with linearly independent normals, and then to study the dynamics provided by this selection. More specifically, we devote Chapter 1 to motivate our interest in this subject, presenting several problems from control theory, non-smooth dynamics, vehicle motion and neural networks. We then introduce the co-dimension $

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22

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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23

Hayden, Kyle. "Knot theory of holomorphic curves in Stein surfaces." Thesis, Boston College, 2018. http://hdl.handle.net/2345/bc-ir:107925.

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Thesis advisor: John A. Baldwin<br>We study the relationship between knots in contact three-manifolds and complex curves in Stein surfaces. To do so, we extend the notion of quasipositivity from classical braids to links that are braided with respect to an open book decomposition of an arbitrary closed, oriented three-manifold. Our main results characterize the transverse links in Stein-fillable contact three-manifolds that bound smooth holomorphic curves in Stein fillings. This characterization is made possible by new techniques in the theory of characteristic and open book foliations on surf

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24

Mullins, Larry Andrew. "An upperbound on the ropelength of arborescent links." CSUSB ScholarWorks, 2007. https://scholarworks.lib.csusb.edu/etd-project/3133.

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25

PENAFIEL, CARLOS DIOSDADO ESPINOZA. "SURFACES OF CONSTANT MEAN CURVATURE IN HOMOGENEOUS THREE MANIFOLDS WITH EMPHASIS IN GPSL2(R, Τ )". PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2010. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=16214@1.

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COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>FUNDAÇÃO DE APOIO À PESQUISA DO ESTADO DO RIO DE JANEIRO<br>Nesta teses, nós estudamos H-superfícies, isto é, superfícies tendo curvatura media constante, imersas em variedades homogêneas simplesmente conexas de dimensão 3. Nós focamos nossa atenção no estudo de existência de H multigráficos. Também estudamos a H-superfícies invariantes por um grupo a um parâmetro de isometrias que estão imersas no espaço PSL(2) (R, T).<br>In this thesis we study H-surfaces, that is, surfaces having constant mean curvature, immersed in homogeneous

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26

Cengiz, Mustafa. "Heegaard Splittings and Complexity of Fibered Knots:." Thesis, Boston College, 2020. http://hdl.handle.net/2345/bc-ir:108729.

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Thesis advisor: Tao Li<br>This dissertation explores a relationship between fibered knots and Heegaard splittings in closed, connected, orientable three-manifolds. We show that a fibered knot, which has a sufficiently complicated monodromy, induces a minimal genus Heegaard splitting that is unique up to isotopy. Moreover, we show that fibered knots in the three-sphere has complexity at most 3<br>Thesis (PhD) — Boston College, 2020<br>Submitted to: Boston College. Graduate School of Arts and Sciences<br>Discipline: Mathematics

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27

Champion, Daniel James. "Mobius Structures, Einstein Metrics, and Discrete Conformal Variations on Piecewise Flat Two and Three Dimensional Manifolds." Diss., The University of Arizona, 2011. http://hdl.handle.net/10150/145313.

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Spherical, Euclidean, and hyperbolic simplices can be characterized by the dihedral angles on their codimension-two faces. These characterizations analyze the Gram matrix, a matrix with entries given by cosines of dihedral angles. Hyperideal hyperbolic simplices are non-compact generalizations of hyperbolic simplices wherein the vertices lie outside hyperbolic space. We extend recent characterization results to include fully general hyperideal simplices. Our analysis utilizes the Gram matrix, however we use inversive distances instead of dihedral angles to accommodate fully general hyperideal

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28

Nguyen, Minh Hoang. "Surfaces minimales dans des variétés homogènes de dimension 3 minimal surfaces in three dimensional homogeneous manifolds." Toulouse 3, 2016. http://www.theses.fr/2016TOU30173.

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Cette thèse est consacrée aux surfaces minimales dans certains espaces homogènes riemanniens de dimension 3. Dans une première partie, nous considérons la variété homogène riemannienne PSL2(IR. , T) qui peut encore être considéré comme IHI2 x IR = {(x, y, z) E JR3 : :r2 + y2 < 4} munie de lametrique. \2 (d:c2 + dy 2) + (x. \(ydx- xdy) + dz) 2 où,\= 4 (oc}+y')" Nous construisons des anneaux plongés complets dont le bord se compose de 4 droites verticales sur le bord à nnfinide IHI2 x IR. . De plus, ces anneaux sont asymptotiques à deux surfaces minimales verticales de PSL2 (1R, T). Ces annea

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29

Canalias, Vila Elisabet. "Contributions to Libration Orbit Mission Design using Hyperbolic Invariant Manifolds." Doctoral thesis, Universitat Politècnica de Catalunya, 2007. http://hdl.handle.net/10803/5927.

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Aquesta tesi doctoral està emmarcada en el camp de l'astrodinàmica. Presenta solucions a problemes identificats en el disseny de missions que utilitzen òrbites entorn dels punts de libració, fent servir la teoria de sistemes dinàmics.<br/>El problema restringit de tres cossos és un model per estudiar el moviment d'un cos de massa infinitessimal sota l'atracció gravitatòria de dos cossos molt massius. Els cinc punts d'equilibri d'aquest model, en especial L1 i L2, han estat motiu de nombrosos estudis per aplicacions pràctiques en les últimes dècades (SOHO, Genesis...). <br/>Genèricament, qualse

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30

Wheeler, Russell Clark. "Using symbolic dynamical systems: A search for knot invariants." CSUSB ScholarWorks, 1998. https://scholarworks.lib.csusb.edu/etd-project/3033.

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31

Mathew, Panakkal J. "Three Topics in Analysis: (I) The Fundamental Theorem of Calculus Implies that of Algebra, (II) Mini Sums for the Riesz Representing Measure, and (III) Holomorphic Domination and Complex Banach Manifolds Similar to Stein Manifolds." Digital Archive @ GSU, 2011. http://digitalarchive.gsu.edu/math_diss/2.

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We look at three distinct topics in analysis. In the first we give a direct and easy proof that the usual Newton-Leibniz rule implies the fundamental theorem of algebra that any nonconstant complex polynomial of one complex variable has a complex root. Next, we look at the Riesz representation theorem and show that the Riesz representing measure often can be given in the form of mini sums just like in the case of the usual Lebesgue measure on a cube. Lastly, we look at the idea of holomorphic domination and use it to define a class of complex Banach manifolds that is similar in nature and defi

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32

Deng, Shengfu. "A Spatial Dynamic Approach to Three-Dimensional Gravity-Capillary Water Waves." Diss., Virginia Tech, 2008. http://hdl.handle.net/10919/28254.

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Three-dimensional gravity-capillary steady waves on water of finite-depth, which are uniformly translating in a horizontal propagation direction and periodic in a transverse direction, are considered. The exact Euler equations are formulated as a spatial dynamic system in which the variable used for the propagating direction is the time-like variable. The existence of the solutions of the system is determined by two non-dimensional constants: the Bond number b and Î» (the inverse of the square of the Froude number). The property of Sobolev spaces and the spectral analysis show that the spectru

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33

Binotto, Rosane Rossato. "Projetivos de curvatura." [s.n.], 2007. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306624.

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Orientadores: Sueli Irene Rodrigues Costa, Maria del Carmen Romero-Fuster<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica<br>Made available in DSpace on 2018-08-11T07:37:47Z (GMT). No. of bitstreams: 1 Binotto_RosaneRossato_D.pdf: 8644487 bytes, checksum: d138332704c170431f3aa5fcd442581d (MD5) Previous issue date: 2008<br>Resumo: O projetivo de curvatura em um ponto de uma 3-variedade M de classe 'C POT. 2' imersa em 'IR POT. ?' , n >-4, é o lugar geométrico de todos os extremos dos vetores curvatura de secções normais ao

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34

Cooper, Haydn. "Two generator discrete groups of isometries and their representation : a thesis presented in partial fulfillment of the requirements for the degree of Master of Science in Mathematics at Massey University, Albany, New Zealand." Massey University, 2008. http://hdl.handle.net/10179/973.

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Let M Φ and Mψ be elements of PSL(2,C) representing orientation preserving isometries on the upper half-space model of hyperbolic 3-space Φ and ψ respectively. The parameters β = tr2(M Φ) - 4, β1 = tr2(Mψ) - 4, γ = tr[M Φ,Mψ] - 2, determine the discrete group (Φ ,ψ) uniquely up to conjugacy whenever γ ≠ 0. This thesis is concerned with explicitly lifting this parameterisation of (Φ , ψ) to PSO(1, 3) realised as a discrete 2 generator subgroup of orientation preserving isometries on the hyperboloid model of hyperbolic 3-space. We particularly focus on the case where both Φ and ψ are ellipt

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35

Zhu, Xueyun. "Vlist and Ering: compact data structures for simplicial 2-complexes." Thesis, Georgia Institute of Technology, 2013. http://hdl.handle.net/1853/50389.

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Various data structures have been proposed for representing the connectivity of manifold triangle meshes. For example, the Extended Corner Table (ECT) stores V+6T references, where V and T respectively denote the vertex and triangle counts. ECT supports Random Access and Traversal (RAT) operators at Constant Amortized Time (CAT) cost. We propose two novel variations of ECT that also support RAT operations at CAT cost, but can be used to represent and process Simplicial 2-Complexes (S2Cs), which may represent star-connecting, non-orientable, and non-manifold triangulations along with dangling

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36

Sun, Jian. "Reconstructing and analyzing surfaces in 3-space." Columbus, Ohio : Ohio State University, 2007. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1184337519.

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37

Alcântara, Marcos Aurélio de. "Rigidez de superfícies convexas em espaços homogêneos 3-dimensionais." Universidade Federal do Amazonas, 2013. http://tede.ufam.edu.br/handle/tede/3671.

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Made available in DSpace on 2015-04-22T22:16:05Z (GMT). No. of bitstreams: 1 Marcos Aurelio de Alcantara.pdf: 720745 bytes, checksum: 08ea1f8125881d86a363610223d345ea (MD5) Previous issue date: 2013-04-03<br>CNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico<br>This paper presents main result of a theorem in rigidity of convex three dimensional homogeneous spaces, which was proved by Hosenberg and Tribuzy in 2011. More precisely, we prove that given smooth family of isometric immersions strictly convex f(t) : M 􀀀! N, with f(0) = f, Ke(ft(x)) = Ke(f(x)) for x 2 M and fo

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38

Masdemont, Soler Josep. "Estudi i utilització de materials invariants en problemes de mecànica celeste." Doctoral thesis, Universitat Politècnica de Catalunya, 1991. http://hdl.handle.net/10803/6713.

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La memòria consta de dues parts. En la primera d'elles s'estudien les òrbites homoclíniques i heteroclíniques associades als punts d'equilibri triangulars del problema restringit circular i pla per valors del paràmetre de masses compresos entre 0.1 i 0.5, es donen resultats referents a la seva forma i nombre. En la segona part òrbita halo al voltant del punt l1 del sistema terra-sol, utilitzant les idees geomètriques que proporciona la teoria dels sistemes dinàmics. Es comença l'estudi per models senzills a fi de veure l'essencial de la geometria del problema i la influencia de la lluna, per f

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39

Weiner, Ian. "Super-Symmetric Three-Cycles in String Theory." Scholarship @ Claremont, 2001. https://scholarship.claremont.edu/hmc_theses/138.

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We determine several families of so-called associative 3-dimensional manifolds in R7. Such manifolds are of interest because associative 3-cycles in G2 holonomy manifolds such as R6 × S1, whose universal cover is R7, are candidates for representations of fundamental particles in String Theory. We apply the classic results of Harvey and Lawson to find 3-manifolds which are graphs of functions f : Im H → H and which are invariant under a particular 1-parameter subgroup of G2, the automorphism group of the Cayley numbers, O. Systems of PDEs are derived and solved, some special cases of a classic

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40

"Three dimensional contact topology." 2013. http://library.cuhk.edu.hk/record=b5884528.

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Low, Ho Chi.<br>Thesis (M.Phil.)--Chinese University of Hong Kong, 2013.<br>Includes bibliographical references (leaves 76-79).<br>Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web.<br>Abstracts also in Chinese.

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41

Leininger, Christopher Jay. "Essential surfaces in hyperbolic three-manifolds." 2002. http://wwwlib.umi.com/cr/utexas/fullcit?p3114769.

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42

Derby-Talbot, Ryan. "Heegaard splittings of toroidal 3-manifolds." Thesis, 2006. http://hdl.handle.net/2152/2517.

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43

Chesebro, Eric Bruce. "Undetected boundary slopes and roots of unity for the character variety of a 3-manifold." Thesis, 2006. http://hdl.handle.net/2152/2475.

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44

Goodman, Noah Daniel. "Contact structures and open books." Thesis, 2003. http://wwwlib.umi.com/cr/utexas/fullcit?p3116314.

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45

Przeworski, Andrew. "Tubes in hyperbolic 3-manifolds /." 2000. 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:9965140.

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46

"Margulis number for hyperbolic 3-manifolds." 2011. http://library.cuhk.edu.hk/record=b5894652.

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Yiu, Fa Wai.<br>Thesis (M.Phil.)--Chinese University of Hong Kong, 2011.<br>Includes bibliographical references (leaves 55-58).<br>Abstracts in English and Chinese.<br>Chapter 1 --- Introduction --- p.6<br>Chapter 2 --- Elementary properties and notations of Hyperbolic space --- p.9<br>Chapter 3 --- Poisson kernel and Conformal densities --- p.16<br>Chapter 3.1 --- Poisson kernel --- p.17<br>Chapter 3.2 --- Conformal densities --- p.19<br>Chapter 4 --- Patterson construction and decomposition --- p.27<br>Chapter 4.1 --- Patterson construction --- p.27<br>Chapter 4.2 --- Patterson decomp

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47

Arıkan, Mehmet Fırat. "Topological invariants of contact structures and planar open books." Diss., 2008.

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48

Schlatter, Emma Louise. "Knot theory and applications to 3-manifolds." 2010. http://hdl.handle.net/10090/15209.

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49

Jones, Kerry Nelson. "Cone manifolds in three-dimensional topology applications to branched covers." Thesis, 1990. http://hdl.handle.net/1911/16355.

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Cone manifolds are defined and several standard geometric techniques for Riemannian manifolds are generalized to this setting. Smoothing techniques for approximating cone manifolds by smooth Riemannian manifolds with bounded sectional curvature are discussed. This involves some quite explicit curvature computations. The connection is then made between branched covers and cone manifolds by showing that cone manifold structures lift to a branched cover. Topological results concerning existence of incompressible tori and Seifert-fibered spaces in branched covers are then obtained by lifting cone

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Kao, Wei-Ting, and 高尉庭. "The variation of p-mass on three dimensional CR manifolds." Thesis, 2018. http://ndltd.ncl.edu.tw/handle/u8s2e9.

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Abstract:

碩士<br>國立臺灣大學<br>數學研究所<br>106<br>We consider a family of pseudohermitian manifolds in two dimensional complex vector space, described by the level sets of a defining function, and give the variation formula of p-mass for this deformation. To obtain this result, we generalize the ambient connection done by Graham and Lee for arbitrary contact form and derive the conformal transformation in this theory.

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