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Non-Euclidean geometry : a critical and historical study of its development / by Roberto Bonola
| Non-Euclidean geometry : a critical and historical study of its development / by Roberto Bonola |
| Autore | Bonola, Roberto |
| Edizione | [Authorized eng. translation with additional appendices by H. S. Carslaw ; with an introd. by Federigo Enriques ; with a suppl. containing the George Bruce Halsted translations of The science of absolute space by John Bolyai [and] The theory of parallels by Nicholas Lobachevski] |
| Pubbl/distr/stampa | [New York] : Dover, 1955 |
| Descrizione fisica | xiv, 268 p. : ill., diagrs. ; 21 cm. |
| Disciplina | 516.9 |
| Altri autori (Persone) |
Bólyai, János
Lobacevskij, Nikolaj Ivanovic |
| Soggetto topico |
Collected works
Geometry-history Hyperbolic geometry |
| Classificazione | AMS 51M10 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001169839707536 |
Bonola, Roberto
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| [New York] : Dover, 1955 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Non-Euclidean geometry / Stefan Kulczycki ; transl. from polish by Stanislaw Knapowski
| Non-Euclidean geometry / Stefan Kulczycki ; transl. from polish by Stanislaw Knapowski |
| Autore | Kulczycki, Stefan |
| Pubbl/distr/stampa | New York : Pergamon Press ; Warszawa : PWN, 1961 |
| Descrizione fisica | 208 p. ; 23 cm. |
| Collana | International series in pure and applied mathematics ; 16 |
| Soggetto topico |
Elliptic geometry
Hyperbolic geometry |
| Classificazione | AMS 51M10 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001170039707536 |
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Kulczycki, Stefan
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| New York : Pergamon Press ; Warszawa : PWN, 1961 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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The non-Euclidean hyperbolic plane : its structure and consistency / Paul Kelly, Gordon Matthews
| The non-Euclidean hyperbolic plane : its structure and consistency / Paul Kelly, Gordon Matthews |
| Autore | Kelly, Paul Joseph |
| Pubbl/distr/stampa | New York : Springer-Verlag, 1981 |
| Descrizione fisica | xiii, 333 p. : ill. ; 24 cm. |
| Disciplina | 516.9 |
| Altri autori (Persone) | Matthews, Gordonauthor |
| Collana | Universitext |
| Soggetto topico | Hyperbolic geometry |
| ISBN | 0387905529 |
| Classificazione |
AMS 51-XX
AMS 51M10 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001170109707536 |
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Kelly, Paul Joseph
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| New York : Springer-Verlag, 1981 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Recent trends in Lorentzian geometry [[electronic resource] /] / edited by Miguel Sánchez, Miguel Ortega, Alfonso Romero
| Recent trends in Lorentzian geometry [[electronic resource] /] / edited by Miguel Sánchez, Miguel Ortega, Alfonso Romero |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 |
| Descrizione fisica | 1 online resource (356 p.) |
| Disciplina | 516.362 |
| Collana | Springer Proceedings in Mathematics & Statistics |
| Soggetto topico |
Convex geometry
Discrete geometry Hyperbolic geometry Differential geometry Convex and Discrete Geometry Hyperbolic Geometry Differential Geometry |
| Soggetto genere / forma | Conference proceedings. |
| ISBN |
1-283-84902-X
1-4614-4897-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Recent Trends in Lorentzian Geometry; Preface; Contents; Hyperbolic Metrics on Riemann Surfaces and Space-Like CMC-1 Surfaces in de Sitter 3-Space; 1 Generalized CMC-1 Faces in de Sitter 3-Space; 2 Extended Hyperbolic Metrics on Riemann Surfaces; 3 Fundamental Properties of Co-orientable Extended Hyperbolic Metrics; 4 Classification of de Sitter Catenoids; 5 Hyperbolic Metrics with At Most Two Regular Singularities; Appendix A: Projective Connections; Appendix B: A Property of Subgroups in PSU(1,1); References
Calabi-Bernstein Results and Parabolicity of Maximal Surfaces in Lorentzian Product Spaces1 Introduction; 2 The Classical Calabi-Bernstein Theorem in R31; 2.1 Space-Like Graphs and the Calabi-Bernstein Theorem; 2.2 Romero's Proof Based on the Liouville Theorem for Harmonic Functions on R2; 2.3 Alías and Palmer's Proof Based on a Duality Result; 2.4 Alías and Palmer's Proof Based on a Local Integral Inequality for the Gaussian Curvature; 3 Some Preliminaries on Lorentzian Product Spaces; 4 A Parametric Version of a Calabi-Bernstein Result; 5 A Nonparametric Version of a Calabi-Bernstein Result 6 Some Nontrivial Entire Maximal Graphs in H2R16.1 Duality Between Minimal and Maximal Graphs; 6.2 More Examples; 7 Relative Parabolicity of Maximal Surfaces; 7.1 Relative Parabolicity and Entire Maximal Graphs; 8 A Local Estimate for Maximal Surfaces in a Lorentzian Product Space; References; Umbilical-Type Surfaces in SpaceTime; 1 Introduction; 2 Basic Concepts and Notation; 2.1 Extrinsic Geometry: Second Fundamental Forms and Weingarten Operators; 2.2 Special Bases on x(S); 2.3 The Mean Curvature Vector Field H and Its Causal Character; 2.4 The Extrinsic Vector Field G 2.5 The Normal Connection One-Form s2.6 Curvatures: Gauss and Ricci Equations; 3 Umbilical-Type, Pseudo-umbilical, and Related Surfaces; 4 Proof of the Main Theorems; 5 Some Important Corollaries and Consequences; 6 Final Considerations; References; Stability of Marginally Outer Trapped Surfaces and Applications; 1 Introduction; 2 Definition of Marginally Outer Trapped Surface; 2.1 Geometry of Spacelike Surfaces; 2.2 Marginally Outer Trapped Surfaces; 3 Stability of MOTS; 3.1 Principal Eigenvalue of the Stability Operator; 3.2 Dependence of the Stability Properties on the Direction 4 Barrier Properties of MOTS4.1 MOTS and Symmetries; 5 MOTS and Killing Horizons; 5.1 Killing Horizons; 5.2 Stability Operator of MOTS in Killing Horizons; 6 Axially Symmetric MOTS and Angular Momentum; References; Area Inequalities for Stable Marginally Trapped Surfaces; 1 Introduction; 2 Geometric and Physical Elements; 2.1 Geometry of 2-Surfaces; 2.1.1 Axisymmetry; 2.2 Electromagnetic Field; 2.2.1 Yang-Mills Fields; 3 Stability of Marginally Outer Trapped Surfaces; 3.1 Basic Definitions; 3.2 Integral-Inequality Characterizations of MOTS Stability 3.3 Variants to the Stably Outermost Condition |
| Record Nr. | UNINA-9910438156603321 |
| New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Spectral Theory of Infinite-Area Hyperbolic Surfaces [[electronic resource] /] / by David Borthwick
| Spectral Theory of Infinite-Area Hyperbolic Surfaces [[electronic resource] /] / by David Borthwick |
| Autore | Borthwick David |
| Edizione | [2nd ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2016 |
| Descrizione fisica | 1 online resource (XIII, 463 p. 64 illus., 37 illus. in color.) |
| Disciplina | 515.7222 |
| Collana | Progress in Mathematics |
| Soggetto topico |
Functional analysis
Partial differential equations Functions of complex variables Hyperbolic geometry Physics Functional Analysis Partial Differential Equations Functions of a Complex Variable Hyperbolic Geometry Mathematical Methods in Physics |
| ISBN | 3-319-33877-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Hyperbolic Surfaces -- Selberg Theory for Finite-Area Hyperbolic Surfaces -- Spectral Theory for the Hyperbolic Plane -- Model Resolvents for Cylinders -- The Resolvent -- Spectral and Scattering Theory -- Resonances and Scattering Poles -- Growth Estimates and Resonance Bounds -- Selberg Zeta Function -- Wave Trace and Poisson Formula -- Resonance Asymptotics -- Inverse Spectral Geometry -- Patterson-Sullivan Theory -- Dynamical Approach to the Zeta Function -- Numerical Computations -- Appendix -- References -- Notation Guide -- Index. |
| Record Nr. | UNINA-9910254062803321 |
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Borthwick David
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The Spectrum of Hyperbolic Surfaces [[electronic resource] /] / by Nicolas Bergeron
| The Spectrum of Hyperbolic Surfaces [[electronic resource] /] / by Nicolas Bergeron |
| Autore | Bergeron Nicolas |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (XIII, 370 p. 8 illus. in color.) |
| Disciplina | 516.9 |
| Collana | Universitext |
| Soggetto topico |
Hyperbolic geometry
Harmonic analysis Dynamics Ergodic theory Hyperbolic Geometry Abstract Harmonic Analysis Dynamical Systems and Ergodic Theory |
| ISBN | 9783319276649 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Introduction -- Arithmetic Hyperbolic Surfaces -- Spectral Decomposition -- Maass Forms -- The Trace Formula -- Multiplicity of lambda1 and the Selberg Conjecture -- L-Functions and the Selberg Conjecture -- Jacquet-Langlands Correspondence -- Arithmetic Quantum Unique Ergodicity -- Appendices -- References -- Index of notation -- Index -- Index of names. |
| Record Nr. | UNINA-9910254081403321 |
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Bergeron Nicolas
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Three-dimensional geometry and topology / William P. Thurston ; edited by Silvio Levy
| Three-dimensional geometry and topology / William P. Thurston ; edited by Silvio Levy |
| Autore | Thurston, William P. |
| Pubbl/distr/stampa | Princeton : Princeton University Press, 1997- |
| Descrizione fisica | v. : ill. ; 25 cm |
| Disciplina | 516.07 |
| Altri autori (Persone) | Levy, Silvio |
| Collana | Princeton mathematical series, 0079-5194 ; 35 |
| Soggetto topico |
Hyperbolic geometry
Three-manifolds (Topology) |
| ISBN | 0691083045 |
| Classificazione |
LC QA685.T49
AMS 53C20 AMS 51H20 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991004005349707536 |
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Thurston, William P.
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| Princeton : Princeton University Press, 1997- | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Volume Conjecture for Knots [[electronic resource] /] / by Hitoshi Murakami, Yoshiyuki Yokota
| Volume Conjecture for Knots [[electronic resource] /] / by Hitoshi Murakami, Yoshiyuki Yokota |
| Autore | Murakami Hitoshi |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Singapore : , : Springer Singapore : , : Imprint : Springer, , 2018 |
| Descrizione fisica | 1 online resource (IX, 120 p. 98 illus., 18 illus. in color.) |
| Disciplina | 530.15 |
| Collana | SpringerBriefs in Mathematical Physics |
| Soggetto topico |
Mathematical physics
Topology Hyperbolic geometry Mathematical Physics Hyperbolic Geometry |
| ISBN |
981-13-1150-1
978-981-13-1150-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Preliminaries (knots and links, braids, hyperbolic geometry) -- 2. R-matrix, the Kashaev invariant and the colored Jones polynomimal -- 3. Volume conjecture -- 4. Triangulation of a knot complement and hyperbolicity equation -- 5. Idea of the “proof” -- 6. Representations of a knot group into SL(2;C) and their Chern-Simons invariant -- 7. Generalization of the volume conjecture. |
| Record Nr. | UNINA-9910300121903321 |
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Murakami Hitoshi
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| Singapore : , : Springer Singapore : , : Imprint : Springer, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Vorlesungen uber nicht-Euklidische Geometrie / Felix Klein ; druch neu bearbit. von W. Rosemann
| Vorlesungen uber nicht-Euklidische Geometrie / Felix Klein ; druch neu bearbit. von W. Rosemann |
| Autore | Klein, Felix |
| Pubbl/distr/stampa | Berlin : Springer-Verlag, 1928 (1968 nachdruch) |
| Descrizione fisica | xii, 326 p. ; 24 cm. |
| Disciplina | 510.9 |
| Collana | Grundlehren der mathematischen Wissenschaften = A series of comprehensive studies in mathematics, 0072-7830 ; 26 |
| Soggetto topico |
Collected works
Geometry-history Hyperbolic geometry |
| Classificazione |
AMS 51-03
AMS 51M10 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ger |
| Record Nr. | UNISALENTO-991001481889707536 |
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Klein, Felix
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| Berlin : Springer-Verlag, 1928 (1968 nachdruch) | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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