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Surveys in geometry.I

Record Type:	Electronic resources : Monograph/item
Title/Author:	Surveys in geometry.edited by Athanase Papadopoulos.
other author:	Papadopoulos, Athanase.
Published:	Cham :Springer International Publishing :2022.
Description:	xi, 467 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Geometry.
Online resource:	https://doi.org/10.1007/978-3-030-86695-2
ISBN:	9783030866952$q(electronic bk.)

Surveys in geometry.I
Surveys in geometry.I[electronic resource] /edited by Athanase Papadopoulos. - Cham :Springer International Publishing :2022. - xi, 467 p. :ill. (some col.), digital ;24 cm.

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 Gerard Besson and Gilles Courtois, Compactness and finiteness results for Gromov-Hyperbolic spaces -- 7 Valentin Poenaru, All 4-dimensional smooth Schoenflies balls are geometrically simply-connected - A fast survey of the proof -- 8 Valentin Poenaru, Classical differential topology and non-commutative geometry -- 9 Daniel Massart, A short introduction to translation surfaces, Veech surfaces and Teichmuller dynamics -- 10 Ken'ichi Ohshika, Teichmuller 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.

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, Teichmuller 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.

ISBN: 9783030866952$q(electronic bk.)

Standard No.: 10.1007/978-3-030-86695-2doiSubjects--Topical Terms:

183883
Geometry.

LC Class. No.: QA445 / .S87 2022

Dewey Class. No.: 516

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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 Gerard Besson and Gilles Courtois, Compactness and finiteness results for Gromov-Hyperbolic spaces -- 7 Valentin Poenaru, All 4-dimensional smooth Schoenflies balls are geometrically simply-connected - A fast survey of the proof -- 8 Valentin Poenaru, Classical differential topology and non-commutative geometry -- 9 Daniel Massart, A short introduction to translation surfaces, Veech surfaces and Teichmuller dynamics -- 10 Ken'ichi Ohshika, Teichmuller 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.
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, Teichmuller 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.
650 0 $a Geometry. $3 183883
650 2 4 $a Differential Geometry. $3 273785
650 2 4 $a Hyperbolic Geometry. $3 684054
650 2 4 $a Topology. $3 185965
650 2 4 $a Manifolds and Cell Complexes. $3 913127
650 2 4 $a Convex and Discrete Geometry. $3 277230
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