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Recent advances in Alexandrov geometry

Arizmendi Echegaray, Gerardo.

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Recent advances in Alexandrov geometry

Record Type:	Electronic resources : Monograph/item
Title/Author:	Recent advances in Alexandrov geometry/ edited by Gerardo Arizmendi Echegaray, Luis Hernández-Lamoneda, Rafael Herrera Guzman.
other author:	Arizmendi Echegaray, Gerardo.
Published:	Cham :Springer International Publishing : : 2022.,
Description:	vii, 111 p. :ill., digital ;24 cm.
[NT 15003449]:	Rigidity of Alexandrov spaces -- 2. Three-dimensional Alexandrov spaces: a survey -- 3. Topological and geometric rigidity for spaces with curvature bounded below.
Contained By:	Springer Nature eBook
Subject:	Geometry, Differential. -
Online resource:	https://doi.org/10.1007/978-3-030-99298-9
ISBN:	9783030992989

Recent advances in Alexandrov geometry
Recent advances in Alexandrov geometry[electronic resource] /edited by Gerardo Arizmendi Echegaray, Luis Hernández-Lamoneda, Rafael Herrera Guzman. - Cham :Springer International Publishing :2022. - vii, 111 p. :ill., digital ;24 cm. - CIMAT lectures in mathematical sciences,2731-653X. - CIMAT lectures in mathematical sciences..

Rigidity of Alexandrov spaces -- 2. Three-dimensional Alexandrov spaces: a survey -- 3. Topological and geometric rigidity for spaces with curvature bounded below.

This volume is devoted to various aspects of Alexandrov Geometry for those wishing to get a detailed picture of the advances in the field. It contains enhanced versions of the lecture notes of the two mini-courses plus those of one research talk given at CIMAT. The first part aims at presenting various rigidity results about Alexandrov spaces in a way that facilitates the understanding by a larger audience of geometers of some of the current research in the subject. They contain a brief overview of the fundamental aspects of the theory of Alexandrov spaces with lower curvature bounds, as well as the aforementioned rigidity results with complete proofs. The second text presents an up-to-date and panoramic view of the topology and geometry of 3-dimensional Alexandrov spaces, including the classification of positively and non-negatively curved spaces and the geometrization theorem. They also present Lie group actions and their topological and equivariant classifications as well as a brief account of results on collapsing Alexandrov spaces. The third contribution surveys two recent developments in the understanding of the topological and geometric rigidity of singular spaces with curvature bounded below.

ISBN: 9783030992989

Standard No.: 10.1007/978-3-030-99298-9doiSubjects--Topical Terms:

523835
Geometry, Differential.

LC Class. No.: QA641 / .R43 2022

Dewey Class. No.: 516.36

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505 0 $a Rigidity of Alexandrov spaces -- 2. Three-dimensional Alexandrov spaces: a survey -- 3. Topological and geometric rigidity for spaces with curvature bounded below.
520 $a This volume is devoted to various aspects of Alexandrov Geometry for those wishing to get a detailed picture of the advances in the field. It contains enhanced versions of the lecture notes of the two mini-courses plus those of one research talk given at CIMAT. The first part aims at presenting various rigidity results about Alexandrov spaces in a way that facilitates the understanding by a larger audience of geometers of some of the current research in the subject. They contain a brief overview of the fundamental aspects of the theory of Alexandrov spaces with lower curvature bounds, as well as the aforementioned rigidity results with complete proofs. The second text presents an up-to-date and panoramic view of the topology and geometry of 3-dimensional Alexandrov spaces, including the classification of positively and non-negatively curved spaces and the geometrization theorem. They also present Lie group actions and their topological and equivariant classifications as well as a brief account of results on collapsing Alexandrov spaces. The third contribution surveys two recent developments in the understanding of the topological and geometric rigidity of singular spaces with curvature bounded below.
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700 1 $a Hernandez-Lamoneda, L. $3 3607856
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