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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Bibliographic Details
Other Authors: Papadopoulos, Athanase (Editor)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2022, 2022
Edition:1st ed. 2022
Subjects:
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