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Relevant bibliographies by topics / Hyperbolic space

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Academic literature on the topic 'Hyperbolic space'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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Journal articles on the topic "Hyperbolic space"

1

Porechnaia, Viktoriia I. "Convergence of metaphorization and hyperbolization (semantic space expansion): Tropeic and cognitive aspects." Current Issues in Philology and Pedagogical Linguistics, no. 4 (December 25, 2024): 187–97. https://doi.org/10.29025/2079-6021-2024-4-187-197.

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The aim of this article is to study the metaphorization and hyperbolization processes in a comparative aspect. The material of the study is 14 contexts of the use of metaphors, hyperbolic and hyperbolic metaphors, one of the verbalization elements of which is a lexeme with the spatial meaning “sea”. The study of these tropes with a spatial component is due to the importance of this category in the worldview in general and the linguistic worldview in particular. The material source is the Russian National Corpus. In the course of the research, methods of description, comparison, generalization,

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Zenginoğlu, Anıl. "Hyperbolic times in Minkowski space." American Journal of Physics 92, no. 12 (2024): 965–74. http://dx.doi.org/10.1119/5.0214271.

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Time functions with asymptotically hyperbolic geometry play an increasingly important role in many areas of relativity, from computing black hole perturbations to analyzing wave equations. Despite their significance, many of their properties remain underexplored. In this expository article, I discuss hyperbolic time functions by considering the hyperbola as the relativistic analog of a circle in two-dimensional Minkowski space and argue that suitably defined hyperboloidal coordinates are as natural in Lorentzian manifolds as spherical coordinates are in Riemannian manifolds.

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Levitt, Gilbert, and Harold Rosenberg. "hyperbolic space." Duke Mathematical Journal 52, no. 1 (1985): 53–59. http://dx.doi.org/10.1215/s0012-7094-85-05204-4.

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Babich, M., and A. Bobenko. "hyperbolic space." Duke Mathematical Journal 72, no. 1 (1993): 151–85. http://dx.doi.org/10.1215/s0012-7094-93-07207-9.

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IZUMIYA, SHYUICHI, DONGHE PEI, and TAKASI SANO. "SINGULARITIES OF HYPERBOLIC GAUSS MAPS." Proceedings of the London Mathematical Society 86, no. 2 (2003): 485–512. http://dx.doi.org/10.1112/s0024611502013850.

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In this paper we adopt the hyperboloid in Minkowski space as the model of hyperbolic space. We define the hyperbolic Gauss map and the hyperbolic Gauss indicatrix of a hypersurface in hyperbolic space. The hyperbolic Gauss map has been introduced by Ch. Epstein [J. Reine Angew. Math. 372 (1986) 96–135] in the Poincaré ball model, which is very useful for the study of constant mean curvature surfaces. However, it is very hard to perform the calculation because it has an intrinsic form. Here, we give an extrinsic definition and we study the singularities. In the study of the singularities of the

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Dursun, Uğur, and Rüya Yeğin. "Hyperbolic submanifolds with finite type hyperbolic Gauss map." International Journal of Mathematics 26, no. 02 (2015): 1550014. http://dx.doi.org/10.1142/s0129167x15500147.

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We study submanifolds of hyperbolic spaces with finite type hyperbolic Gauss map. First, we classify the hyperbolic submanifolds with 1-type hyperbolic Gauss map. Then we prove that a non-totally umbilical hypersurface Mn with nonzero constant mean curvature in a hyperbolic space [Formula: see text] has 2-type hyperbolic Gauss map if and only if M has constant scalar curvature. We also classify surfaces with constant mean curvature in the hyperbolic space [Formula: see text] having 2-type hyperbolic Gauss map. Moreover we show that a horohypersphere in [Formula: see text] has biharmonic hyperb

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Chen, Chiang-Mei, Pei-Ming Ho, Ishwaree P. Neupane, John E. Wang, and Nobuyoshi Ohta. "Hyperbolic space cosmologies." Journal of High Energy Physics 2003, no. 10 (2003): 058. http://dx.doi.org/10.1088/1126-6708/2003/10/058.

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Xuegang, Yu. "Hyperbolic Hilbert space." Advances in Applied Clifford Algebras 10, no. 1 (2000): 49–60. http://dx.doi.org/10.1007/bf03042009.

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Wijana, I. Dewa Putu. "Hyperbole in Indonesian Song Lyrics." Journal of Language and Literature 25, no. 1 (2025): 240–49. https://doi.org/10.24071/joll.v25i1.10316.

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Language is pivotal in fulfilling human communicative needs, such as transactional and interactional functions. In the latter function, language is employed, one of which is to build social and personal attitudes, or so-called poetic or imaginative function. Such functions can be accessed through songs or song lyrics. Motivated by the previous argument, this paper aims to describe construction types and categories of hyperbolic expressions found in various Indonesian song lyrics, comprising the genres of “kroncong,” “dangdut,” and other popular songs. To provide the evidence, this study collec

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Yegin, R., and U. Dursun. "On Submanifolds of Pseudo-Hyperbolic Space with 1-Type Pseudo-Hyperbolic Gauss Map." Zurnal matematiceskoj fiziki, analiza, geometrii 12, no. 4 (2016): 315–37. http://dx.doi.org/10.15407/mag12.04.315.

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Dissertations / Theses on the topic "Hyperbolic space"

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Steinberg, Daniel Howard. "Elastic curves in hyperbolic space." Case Western Reserve University School of Graduate Studies / OhioLINK, 1995. http://rave.ohiolink.edu/etdc/view?acc_num=case1058277066.

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Velani, Sanju Lalji. "Metric diophantine approximation in hyperbolic space." Thesis, University of York, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.304351.

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Cuschieri, Thomas. "Complete noncompact CMC surfaces in hyperbolic 3-space." Thesis, University of Warwick, 2009. http://wrap.warwick.ac.uk/3135/.

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In this thesis we study the asymptotic Plateau problem for surfaces with constant mean curvature (CMC) in hyperbolic 3-space H3. We give a new, geometrically transparent proof of the existence of a CMC surface spanning any given Jordan curve on the sphere at infinity of H3, for mean curvature lying in the range (-1,1). Our proof does not require methods from geometric measure theory, and yields an immersed disk as solution. We then study the dependence of the solution surface on the boundary data. We view the set of H-surfaces (CMC surfaces with mean curvature equal to H) as consisting of the

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Raab, Erik. "Constant mean curvature surfaces in hyperbolic 3-space." Thesis, Uppsala universitet, Institutionen för fysik och astronomi, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-225923.

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The aim of this bachelor's thesis has been to investigate surfaces that are the main contributions to scattering amplitudes in a type of string theory. These are constant mean curvature surfaces in hyperbolic 3-space. Classically the way to find such surfaces has been to solve a non-linear partial differential equation. In many spaces constant mean curvature surfaces are intimately connected to certain harmonic maps, known as the Gauss maps. In 1995 Dorfmeister, Pedit, and Wu established a method for constructing harmonic maps into so-called symmetric spaces. I investigate a generalization of

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Warakkagun, Sangsan. "Connectivity of the space of pointed hyperbolic surfaces:." Thesis, Boston College, 2021. http://hdl.handle.net/2345/bc-ir:109215.

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Thesis advisor: Ian Biringer<br>We consider the space $\rootedH2$ of all complete hyperbolic surfaces without boundary with a basepoint equipped with the pointed Gromov-Hausdorff topology. Continuous paths within $\rootedH2$ arising from certain deformations on a hyperbolic surface and concrete geometric constructions are studied. These include changing some Fenchel-Nielsen parameters of a subsurface, pinching a simple closed geodesic to a cusp, and inserting an infinite strip along a proper bi-infinite geodesic. We then use these paths to show that $\rootedH2$ is path-connected and that it is

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Yu, Hao [Verfasser], and Claus [Akademischer Betreuer] Gerhardt. "Dual flows in hyperbolic space and de Sitter space / Hao Yu ; Betreuer: Claus Gerhardt." Heidelberg : Universitätsbibliothek Heidelberg, 2017. http://d-nb.info/1178010392/34.

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Yarmola, Andrew. "Convex hulls in hyperbolic 3-space and generalized orthospectral identities." Thesis, Boston College, 2016. http://hdl.handle.net/2345/bc-ir:106788.

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Thesis advisor: Martin Bridgeman<br>We begin this dissertation by studying the relationship between the Poincaré metric of a simply connected domain Ω ⊂ ℂ and the geometry of Dome(Ω), the boundary of the convex hull of its complement. Sullivan showed that there is a universal constant K[subscript]eq[subscript] such that one may find a conformally natural K[subscript]eq[subscript]-quasiconformal map from Ω to Dome(Ω) which extends to the identity on ∂Ω. Explicit upper and lower bounds on K[subscript]eq[subscript] have been obtained by Epstein, Marden, Markovic and Bishop. We improve upon these

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Herold, Felix [Verfasser], and D. [Akademischer Betreuer] Hug. "Random mosaics in hyperbolic space / Felix Herold ; Betreuer: D. Hug." Karlsruhe : KIT-Bibliothek, 2021. http://d-nb.info/1229514767/34.

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EL, EMAM CHRISTIAN. "Immersions of surfaces into SL(2,C) and into the space of geodesics of Hyperbolic space." Doctoral thesis, Università degli studi di Pavia, 2020. http://hdl.handle.net/11571/1361034.

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Shchur, Vladimir. "Quasi-isometries between hyperbolic metric spaces, quantitative aspects." Phd thesis, Université Paris Sud - Paris XI, 2013. http://tel.archives-ouvertes.fr/tel-00867709.

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In this thesis we discuss possible ways to give quantitative measurement for two spaces not being quasi-isometric. From this quantitative point of view, we reconsider the definition of quasi-isometries and propose a notion of ''quasi-isometric distortion growth'' between two metric spaces. We revise our article [32] where an optimal upper-bound for Morse Lemma is given, together with the dual variant which we call Anti-Morse Lemma, and their applications.Next, we focus on lower bounds on quasi-isometric distortion growth for hyperbolic metric spaces. In this class, $L^p$-cohomology spaces prov

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Books on the topic "Hyperbolic space"

1

Elstrodt, Jürgen, Fritz Grunewald, and Jens Mennicke. Groups Acting on Hyperbolic Space. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-662-03626-6.

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Ungar, Abraham Albert. A Gyrovector Space Approach to Hyperbolic Geometry. Springer International Publishing, 2009. http://dx.doi.org/10.1007/978-3-031-02396-5.

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Lax, Peter D. Hyperbolic systems of conservation laws in several space variables. Courant Institute of Mathematical Sciences, New York University, 1985.

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Elstrodt, J. Groups acting on hyperbolic space: Harmonic analysis and number theory. Springer, 1998.

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5

A, Epstein D. B., Science and Engineering Research Council (Great Britain), and London Mathematical Society, eds. Analytical and geometric aspects of hyperbolic space: Warwick and Durham 1984. Cambridge University Press, 1987.

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France, Société mathématique de, ed. Views of parameter space: Topographer and resident. Société mathématique de France, 2003.

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Institute for Computer Applications in Science and Engineering., ed. A new time-space accurate scheme for hyperbolic problems I: Quasi-explicit case. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1998.

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Institute for Computer Applications in Science and Engineering., ed. A new time-space accurate scheme for hyperbolic problems I: Quasi-explicit case. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1998.

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9

Sidilkover, David. A new time-space accurate scheme for hyperbolic problems I: Quasi-explicit case. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1998.

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Institute for Computer Applications in Science and Engineering., ed. A new time-space accurate scheme for hyperbolic problems I: Quasi-explicit case. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1998.

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Book chapters on the topic "Hyperbolic space"

1

Benedetti, Riccardo, and Carlo Petronio. "Hyperbolic Space." In Universitext. Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-58158-8_1.

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Voight, John. "Hyperbolic space." In Graduate Texts in Mathematics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-56694-4_36.

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Gunn, Charlie. "Visualizing Hyperbolic Space." In Computer Graphics and Mathematics. Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-77586-4_19.

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Catoni, Francesco, Dino Boccaletti, Roberto Cannata, Vincenzo Catoni, and Paolo Zampetti. "Hyperbolic Numbers." In Geometry of Minkowski Space-Time. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-17977-8_2.

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Ratcliffe, John G. "Isometries of Hyperbolic Space." In Foundations of Hyperbolic Manifolds. Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4757-4013-4_5.

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Kapovich, Michael. "Geometry of Hyperbolic Space." In Hyperbolic Manifolds and Discrete Groups. Birkhäuser Boston, 2009. http://dx.doi.org/10.1007/978-0-8176-4913-5_3.

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Ratcliffe, John G. "Isometries of Hyperbolic Space." In Foundations of Hyperbolic Manifolds. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-31597-9_5.

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Elstrodt, Jürgen, Fritz Grunewald, and Jens Mennicke. "Three-Dimensional Hyperbolic Space." In Springer Monographs in Mathematics. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-662-03626-6_1.

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Catoni, Francesco, Dino Boccaletti, Roberto Cannata, Vincenzo Catoni, and Paolo Zampetti. "Equilateral Hyperbolas and Triangles in the Hyperbolic Plane." In Geometry of Minkowski Space-Time. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-17977-8_5.

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Bonahon, Francis. "The 3-dimensional hyperbolic space." In The Student Mathematical Library. American Mathematical Society, 2009. http://dx.doi.org/10.1090/stml/049/09.

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Conference papers on the topic "Hyperbolic space"

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Yang, Jie, and Yu Wu. "Heterogeneous Network Embedding Method Based on Hyperbolic Space." In 2024 5th International Conference on Information Science, Parallel and Distributed Systems (ISPDS). IEEE, 2024. http://dx.doi.org/10.1109/ispds62779.2024.10667577.

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Park, Jongmin, Seunghoon Han, Jong-Ryul Lee, and Sungsu Lim. "Multi-Hyperbolic Space-Based Heterogeneous Graph Attention Network." In 2024 IEEE International Conference on Data Mining (ICDM). IEEE, 2024. https://doi.org/10.1109/icdm59182.2024.00098.

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Renzi, Enrico Maria, Simon Yves, Diana Strickland, Sveinung Erland, Eitan Bachmat, and Andrea Alù. "Hyperbolic Polariton Lenses For Sub-Diffractive Imaging." In CLEO: Fundamental Science. Optica Publishing Group, 2024. http://dx.doi.org/10.1364/cleo_fs.2024.fth4l.1.

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We introduce the design of lenses for hyperbolic surface phonon polaritons operated in the mid-infrared range. Based on Minkowski space considerations, these lenses offer unbounded numerical aperture and can largely overcome the diffraction limit on resolution imaging.

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Liu, Lamei, and Zhiqiang Liu. "Application of Hyperbolic Space Attention Mechanisms in 3D Point Cloud Classification." In 2024 6th International Conference on Communications, Information System and Computer Engineering (CISCE). IEEE, 2024. http://dx.doi.org/10.1109/cisce62493.2024.10653457.

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Hu, Chengyang, Ke-Yue Zhang, Taiping Yao, Shouhong Ding, and Lizhuang Ma. "Rethinking Generalizable Face Anti-Spoofing via Hierarchical Prototype-Guided Distribution Refinement in Hyperbolic Space." In 2024 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2024. http://dx.doi.org/10.1109/cvpr52733.2024.00104.

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Auriol, Jean, and Nicolas Espitia. "Event-triggered gain scheduling of × hyperbolic PDEs with time and space varying coupling coefficients." In 2024 IEEE 63rd Conference on Decision and Control (CDC). IEEE, 2024. https://doi.org/10.1109/cdc56724.2024.10886831.

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Phillips, Mark, and Charlie Gunn. "Visualizing hyperbolic space." In the 1992 symposium. ACM Press, 1992. http://dx.doi.org/10.1145/147156.147206.

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Schmeier, Timothy, Joeseph Chisari, Sam Garrett, and Brett Vintch. "Music recommendations in hyperbolic space." In RecSys '19: Thirteenth ACM Conference on Recommender Systems. ACM, 2019. http://dx.doi.org/10.1145/3298689.3347029.

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Casey, Stephen. "Network Tomography in Hyperbolic Space." In 2019 13th International conference on Sampling Theory and Applications (SampTA). IEEE, 2019. http://dx.doi.org/10.1109/sampta45681.2019.9030912.

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Kleinberg, R. "Geographic Routing Using Hyperbolic Space." In IEEE INFOCOM 2007 - 26th IEEE International Conference on Computer Communications. IEEE, 2007. http://dx.doi.org/10.1109/infcom.2007.221.

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Reports on the topic "Hyperbolic space"

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Holzapfel, Rolf-Peter. Jacobi Theta Embedding of a Hyperbolic 4-Space with Cusps. GIQ, 2012. http://dx.doi.org/10.7546/giq-3-2002-11-63.

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Schroder, J. B648304 Final Report - Parallel Multigrid in Time and Space for Extreme-Scale Computational Science: Chaotic and Hyperbolic Problems. Office of Scientific and Technical Information (OSTI), 2022. http://dx.doi.org/10.2172/1880928.

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Holzapfel, Rolf-Peter. Enumerative Geometry on Quasi-Hyperbolic 4-Spaces with Cusps. GIQ, 2012. http://dx.doi.org/10.7546/giq-4-2003-42-87.

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Berenstein, Carlos A., and Enrico C. Tarabusi. Range of the k-Dimensional Radon Transform in Real Hyperbolic Spaces. Defense Technical Information Center, 1991. http://dx.doi.org/10.21236/ada454845.

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