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Books on the topic 'Hyperbolic space'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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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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2

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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3

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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4

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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6

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

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7

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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8

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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10

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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11

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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12

W, Bates Peter. Existence and persistence of invariant manifolds for semiflows in Banach space. American Mathematical Society, 1998.

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13

Glimm, James. Elementary waves for hyperbolic equations in higher space dimensions: an example from petroleum reservoir modeling. Courant Institute of Mathematical Sciences, New York University, 1985.

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14

Goodrich, John W. An approach to the development of numerical algorithms for first order linear hyperbolic systems in multiple space dimensions: The constant coefficient case. National Aeronautics and Space Administration, 1995.

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15

United States. National Aeronautics and Space Administration., ed. An approach to the development of numerical algorithms for first order linear hyperbolic systems in multiple space dimensions: The constant coefficient case. National Aeronautics and Space Administration, 1995.

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16

Kobayashi, Shoshichi. Hyperbolic Complex Spaces. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-662-03582-5.

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17

Kobayashi, Shoshichi. Hyperbolic complex spaces. Springer, 1998.

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18

Juha, Heinonen, and Koskela Pekka, eds. Uniformizing Gromov hyperbolic spaces. Société mathématique de France, 2001.

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19

Boskoff, Wladimir-Georges. Hyperbolic geometry and barbilian spaces. Hadronic Press, 1996.

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20

Lang, Serge. Introduction to Complex Hyperbolic Spaces. Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4757-1945-1.

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21

Lang, Serge. Introduction to complex hyperbolic spaces. Springer-Verlag, 1987.

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22

Ratcliffe, John G. Foundations of hyperbolic manifolds. Springer-Verlag, 1994.

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23

Georgiev, Vladimir. Semilinear hyperbolic equations. Mathematical Society of Japan, 2000.

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24

Cruz-Uribe, David, Alberto Fiorenza, Michael Ruzhansky, and Jens Wirth. Variable Lebesgue Spaces and Hyperbolic Systems. Edited by Sergey Tikhonov. Springer Basel, 2014. http://dx.doi.org/10.1007/978-3-0348-0840-8.

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25

Kyōto Daigaku. Sūri Kaiseki Kenkyūjo. Analysis and geometry of hyperbolic spaces. Kyōto Daigaku Sūri Kaiseki Kenkyūjo, 1998.

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26

T, Bedford, Keane M. S, and Series Caroline, eds. Ergodic theory, symbolic dynamics, and hyperbolic spaces. Oxford University Press, 1991.

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27

Otal, Jean-Pierre. Le théorème d'hyperbolisation pour les variétés fibrées de dimension 3. Société mathématique de France, 1996.

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28

Francaviglia, Stefano. Hyperbolicity equations for cusped 3-manifolds and volume-rigidity of representations. Edizioni della Normale, 2005.

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29

Otal, Jean-Pierre. Le théorème d'hyperbolisation pour les variétés fibrées de dimension 3. Société mathématique de France, 1996.

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30

Margenstern, Maurice. Small Universal Cellular Automata in Hyperbolic Spaces. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-36663-5.

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31

Michihiko, Fujii, ed. Complex analysis and geometry of hyperbolic spaces. Kyōto Daigaku Sūri Kaiseki Kenkyūjo, 2006.

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32

W, Henderson David. Experiencing geometry: In Euclidean, spherical, and hyperbolic spaces. 2nd ed. Prentice Hall, 2001.

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33

Dodziuk, Józef. Spectral asymptotics on degenerating hyperbolic 3-manifolds. American Mathematical Society, 1998.

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34

V, Anosov D., ed. Dynamical systems with hyperbolic behavior. Springer-Verlag, 1995.

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35

Lani-Wayda, Bernhard. Hyperbolic sets, shadowing, and persistence for noninvertible mappings in Banach spaces. Longman, 1995.

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36

Lani-Wayda, Bernhard. Hyperbolic sets, shadowing, and persistence for noninvertible mappings in Banach spaces. Longman, 1995.

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37

author, Kurylev Yaroslav, ed. Introduction to spectral theory and inverse problem on asymptotically hyperbolic manifolds. Mathematical Society of Japan, 2014.

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38

William, Parry. Zeta functions and the periodic orbit structure of hyperbolic dynamics. Société mathématique de France, 1990.

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39

Lani-Wayda, Bernhard. Hyperbolic sets, shadowing and persistence for noninvertible mappings in Banach spaces. Longman, 1995.

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40

Elementary geometry in hyperbolic space. W. de Gruyter, 1989.

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41

Fenchel, Werner. Elementary Geometry in Hyperbolic Space. de Gruyter GmbH, Walter, 2011.

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42

Elementary Geometry in Hyperbolic Space. De Gruyter, Inc., 1989.

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43

Ungar, Abraham. Gyrovector Space Approach to Hyperbolic Geometry. Springer International Publishing AG, 2008.

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44

Ungar, Abraham. Gyrovector Space Approach to Hyperbolic Geometry. Morgan & Claypool Publishers, 2011.

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45

A Gyrovector Space Approach To Hyperbolic Geometry. Morgan & Claypool, 2009.

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46

Elstrodt, Juergen, Fritz Grunewald, and Jens Mennicke. Groups Acting on Hyperbolic Space: Harmonic Analysis and Number Theory. Springer, 2013.

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47

Groups Acting On Hyperbolic Space Harmonic Analysis And Number Theory. Springer, 2010.

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48

Elementary Geometry in Hyperbolic Space (de Gruyter Studies in Mathematics). De Gruyter, 1989.

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49

M¨uhlherr, Bernhard, Holger P. Petersson, and Richard M. Weiss. Quadratic Forms. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691166902.003.0002.

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This chapter presents a few standard definitions and results about quadratic forms and polar spaces. It begins by defining a quadratic module and a quadratic space and proceeds by discussing a hyperbolic quadratic module and a hyperbolic quadratic space. A quadratic module is hyperbolic if it can be written as the orthogonal sum of finitely many hyperbolic planes. Hyperbolic quadratic modules are strictly non-singular and free of even rank and they remain hyperbolic under arbitrary scalar extensions. A hyperbolic quadratic space is a quadratic space that is hyperbolic as a quadratic module. Th

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50

Farb, Benson, and Dan Margalit. Teichmuller Space. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691147949.003.0011.

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Abstract:

This chapter deals with Teichmüller space Teich(S) of a surface S. It first defines Teichmüller space and a topology on Teich(S) before giving two heuristic counts of its dimension. It then describes explicit coordinates on Teich(Sɡ) coming from certain length and twist parameters for curves in a pair of pants decomposition of Sɡ; these are the Fenchel–Nielsen coordinates on Teich(Sɡ). The chapter also considers the Teichmüller space of the torus and concludes by proving the 9g – 9 theorem, which states that a hyperbolic structure on Sɡ is completely determined by the lengths assigned to 9g –

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