| Title |
Handbook of Hilbert Geometry ([EBook] /) / Athanase Papadopoulos, Marc Troyanov |
| Added Personal Name |
Papadopoulos, Athanase |
| Troyanov, Marc |
| Publication |
Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2014 |
| Physical Details |
1 online resource (460 pages) |
| Series |
IRMA Lectures in Mathematics and Theoretical Physics (IRMA) 2523-5133 ; ; 22 |
| ISBN |
9783037196472 |
| Summary Note |
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.: |
| Contents note |
Weak Minkowski spaces /: From Funk to Hilbert geometry /: Funk and Hilbert geometries from the Finslerian viewpoint /: On the Hilbert geometry of convex polytopes /: The horofunction boundary and isometry group of the Hilbert geometry /: Characterizations of hyperbolic geometry among Hilbert geometries /: Around groups in Hilbert geometry /: The geodesic flow of Finsler and Hilbert geometries /: Dynamics of Hilbert nonexpansive maps /: Birkhoff’s version of Hilbert’s metric and its applications in analysis /: Convex real projective structures and Hilbert metrics /: Weil–Petersson Funk metric on Teichmüller space /: Funk and Hilbert geometries in spaces of constant curvature /: On the origin of Hilbert geometry /: Hilbert’s fourth problem /: Open problems.: |
| Mode of acces to digital resource |
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| Internet Site |
https://doi.org/10.4171/147 |
| See Also |
https://www.ems-ph.org/img/books/irma22_mini.gif |
| Links to Related Works |
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