國立虎尾科技大學 |

Language: English

Back

An invitation to Alexandrov geometry...

Alexander, Stephanie.

An invitation to Alexandrov geometry = CAT(0) spaces /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	An invitation to Alexandrov geometry/ by Stephanie Alexander, Vitali Kapovitch, Anton Petrunin.
Reminder of title:	CAT(0) spaces /
Author:	Alexander, Stephanie.
other author:	Kapovitch, Vitali.
Published:	Cham :Springer International Publishing : : 2019.,
Description:	xii, 88 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Generalized spaces. -
Online resource:	https://doi.org/10.1007/978-3-030-05312-3
ISBN:	9783030053123

An invitation to Alexandrov geometry = CAT(0) spaces /
Alexander, Stephanie.

An invitation to Alexandrov geometryCAT(0) spaces /[electronic resource] :by Stephanie Alexander, Vitali Kapovitch, Anton Petrunin. - Cham :Springer International Publishing :2019. - xii, 88 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

1 Preliminaries -- 2 Gluing theorem and billiards -- 3 Globalization and asphericity -- 4 Subsets -- 5 Semisolutions.

Aimed toward graduate students and research mathematicians, with minimal prerequisites this book provides a fresh take on Alexandrov geometry and explains the importance of CAT(0) geometry in geometric group theory. Beginning with an overview of fundamentals, definitions, and conventions, this book quickly moves forward to discuss the Reshetnyak gluing theorem and applies it to the billiards problems. The Hadamard-Cartan globalization theorem is explored and applied to construct exotic aspherical manifolds.

ISBN: 9783030053123

Standard No.: 10.1007/978-3-030-05312-3doiSubjects--Topical Terms:

676256
Generalized spaces.

LC Class. No.: QA641 / .A449 2019

Dewey Class. No.: 516.373

An invitation to Alexandrov geometry = CAT(0) spaces /
LDR:01695nam a2200337 a 4500 001 940650
003 DE-He213
005 20191101120501.0
006 m d
007 cr nn 008maaau
008 200417s2019 gw s 0 eng d
020 $a 9783030053123 $q (electronic bk.)
020 $a 9783030053116 $q (paper)
024 7 $a 10.1007/978-3-030-05312-3 $2 doi
035 $a 978-3-030-05312-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA641 $b .A449 2019
072 7 $a PBMP $2 bicssc
072 7 $a MAT012030 $2 bisacsh
072 7 $a PBMP $2 thema
082 0 4 $a 516.373 $2 23
090 $a QA641 $b .A378 2019
100 1 $a Alexander, Stephanie. $3 1227417
245 1 3 $a An invitation to Alexandrov geometry $h [electronic resource] : $b CAT(0) spaces / $c by Stephanie Alexander, Vitali Kapovitch, Anton Petrunin.
260 $a Cham : $c 2019. $b Springer International Publishing : $b Imprint: Springer,
300 $a xii, 88 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8198
505 0 $a 1 Preliminaries -- 2 Gluing theorem and billiards -- 3 Globalization and asphericity -- 4 Subsets -- 5 Semisolutions.
520 $a Aimed toward graduate students and research mathematicians, with minimal prerequisites this book provides a fresh take on Alexandrov geometry and explains the importance of CAT(0) geometry in geometric group theory. Beginning with an overview of fundamentals, definitions, and conventions, this book quickly moves forward to discuss the Reshetnyak gluing theorem and applies it to the billiards problems. The Hadamard-Cartan globalization theorem is explored and applied to construct exotic aspherical manifolds.
650 0 $a Generalized spaces. $3 676256
650 0 $a Riemannian manifolds. $3 580421
650 0 $a Geometry, Riemannian. $3 672546
650 1 4 $a Differential Geometry. $3 671118
650 2 4 $a Group Theory and Generalizations. $3 672112
700 1 $a Kapovitch, Vitali. $3 1227418
700 1 $a Petrunin, Anton. $3 1227419
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in mathematics. $3 883715
856 4 0 $u https://doi.org/10.1007/978-3-030-05312-3
950 $a Mathematics and Statistics (Springer-11649)

based on 0 review(s)

Multimedia

Reviews

Add a review and share your thoughts with other readers

Export

pickup library