Surveys in Geometry I
The volume consists of a set of surveys on geometry in the broad sense. The goal is to present a certain number of research topics in a non-technical and appealing manner. The topics surveyed include spherical geometry, the geometry of finite-dimensional normed spaces, metric geometry (Bishop—Gromov...
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Format: | eBook |
Language: | English |
Published: |
Cham
Springer International Publishing
2022, 2022
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Edition: | 1st ed. 2022 |
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Online Access: | |
Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 1 Athanase Papadopoulos, Introduction
- 2 Marek Lassak, Spherical geometry - A survey on width and thickness of convex bodies
- 3 Vitor Balestro and Horst Martini, Minkowski geometry - some concepts and recent developments
- 4 Javier Alonso at al., Orthogonality types in normed linear spaces
- 5 Ivan Izmestiev, Mixed volumes and inequalities
- 6 Gérard Besson and Gilles Courtois, Compactness and finiteness results for Gromov-Hyperbolic spaces
- 7 Valentin Poénaru, All 4-dimensional smooth Schoenflies balls are geometrically simply-connected - A fast survey of the proof
- 8 Valentin Poénaru, Classical differential topology and non-commutative geometry
- 9 Daniel Massart, A short introduction to translation surfaces, Veech surfaces and Teichmüller dynamics
- 10 Ken'ichi Ohshika, Teichmüller spaces and the rigidity of mapping class action
- 11 Indranil Biswas and Sorin Dumitrescu, Holomorphic G-structures and foliated Cartan geometries on compact complex manifolds