Surveys in geometry. I / Athanase Papadopoulos, editor.
Papadopoulos, Athanase, editor.
2022
QA445 .S87 2022
Available Online

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Title Surveys in geometry. I / Athanase Papadopoulos, editor.
ISBN 9783030866952 (electronic bk.)
3030866955 (electronic bk.)
9783030866945
3030866947
DOI https://doi.org/10.1007/978-3-030-86695-2
Published Cham : Springer, [2022]
Copyright ©2022
Language English
Description 1 online resource : illustrations (some color)
Item Number 10.1007/978-3-030-86695-2 doi
Call Number QA445 .S87 2022
Dewey Decimal Classification 516
Summary 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.
Note Includes index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed February 24, 2022).
Added Author Papadopoulos, Athanase, editor.
Available in Other Form Print version: 9783030866945
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Record Appears in Online Resources > Ebooks
All Resources
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.

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