Handbook of Hilbert Geometry
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| Autore: |
Papadopoulos
|
| Titolo: |
Handbook of Hilbert Geometry
|
| Pubblicazione: | EMS Press, 2014 |
| Descrizione fisica: | 1 online resource (460 pages) |
| Soggetto topico: | Differential & Riemannian geometry |
| Differential geometry | |
| Geometry | |
| Convex and discrete geometry | |
| Global analysis, analysis on manifolds | |
| Classificazione: | 01A55 |
| 35Q53 | |
| 37D25 | |
| 37D20 | |
| 37D40 | |
| 47H09 | |
| 51-00 | |
| 51-02 | |
| 51-03 | |
| 51A05 | |
| 51B20 | |
| 51F99 | |
| 51K05 | |
| 51K10 | |
| 51K99 | |
| 51M10 | |
| 52A07 | |
| 52A20 | |
| 52A99 | |
| 53A20 | |
| 53A35 | |
| 53B40 | |
| 53C22 | |
| 53C24 | |
| 53C60 | |
| 53C70 | |
| 57S25 | |
| 58-00 | |
| 58-02 | |
| 58-03 | |
| 58B20 | |
| 58D05 | |
| Persona (resp. second.): | PapadopoulosAthanase |
| TroyanovMarc | |
| Nota di contenuto: | Weak Minkowski spaces / Athanase Papadopoulos, Marc Troyanov -- From Funk to Hilbert geometry / Athanase Papadopoulos, Marc Troyanov -- Funk and Hilbert geometries from the Finslerian viewpoint / Marc Troyanov -- On the Hilbert geometry of convex polytopes / Constantin Vernicos -- The horofunction boundary and isometry group of the Hilbert geometry / Cormac Walsh -- Characterizations of hyperbolic geometry among Hilbert geometries / Ren Guo -- Around groups in Hilbert geometry / Ludovic Marquis -- The geodesic flow of Finsler and Hilbert geometries / Mickaël Crampon -- Dynamics of Hilbert nonexpansive maps / Anders Karlsson -- Birkhoff's version of Hilbert's metric and its applications in analysis / Bas Lemmens, Roger D. Nussbaum -- Convex real projective structures and Hilbert metrics / Inkang Kim, Athanase Papadopoulos -- Weil-Petersson Funk metric on Teichmüller space / Hideki Miyachi, Ken'ichi Ohshika, Sumio Yamada -- Funk and Hilbert geometries in spaces of constant curvature / Athanase Papadopoulos, Sumio Yamada -- On the origin of Hilbert geometry / Marc Troyanov -- Hilbert's fourth problem / Athanase Papadopoulos -- Open problems. |
| Sommario/riassunto: | This volume presents surveys, written by experts in the field, on various classical and the modern aspects of Hilbert geometry. They are assuming several points of view: Finsler geometry, calculus of variations, projective geometry, dynamical systems, and others. Some fruitful relations between Hilbert geometry and other subjects in mathematics are emphasized, including Teichmüller spaces, convexity theory, Perron-Frobenius theory, representation theory, partial differential equations, coarse geometry, ergodic theory, algebraic groups, Coxeter groups, geometric group theory, Lie groups and discrete group actions. The _Handbook_ is addressed to both students who want to learn the theory and researchers working in the area. |
| Titolo autorizzato: | Handbook of Hilbert Geometry |
| ISBN: | 3-03719-647-5 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910155827703321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |