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
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245 0 0 |a Surveys in Geometry I  |h Elektronische Ressource  |c edited by Athanase Papadopoulos 
250 |a 1st ed. 2022 
260 |a Cham  |b Springer International Publishing  |c 2022, 2022 
300 |a XI, 467 p. 110 illus., 46 illus. in color  |b online resource 
505 0 |a 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 
653 |a Geometry, Differential 
653 |a Convex geometry  
653 |a Hyperbolic Geometry 
653 |a Topology 
653 |a Geometry, Hyperbolic 
653 |a Geometry 
653 |a Manifolds and Cell Complexes 
653 |a Convex and Discrete Geometry 
653 |a Manifolds (Mathematics) 
653 |a Differential Geometry 
653 |a Discrete geometry 
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856 4 0 |u https://doi.org/10.1007/978-3-030-86695-2?nosfx=y  |x Verlag  |3 Volltext 
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520 |a 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 type inequalities in Gromov-hyperbolic spaces), convexity theory and inequalities involving volumes and mixed volumes of convex bodies, 4-dimensional topology, Teichmüller spaces and mapping class groups actions, translation surfaces and their dynamics, and complex higher-dimensional geometry. Several chapters are based on lectures given by their authors to middle-advanced level students and young researchers. The whole book is intended to be an introduction to current research trends in geometry