Vetenskap & teknik

An Invitation to Alexandrov Geometry

Stephanie Alexander • Vitali Kapovitch • Anton Petrunin

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88 sidor
2019

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 HadamardCartan globalization theorem is explored and applied to construct exotic aspherical manifolds.

Författare: Stephanie Alexander, Vitali Kapovitch, Anton Petrunin
Illustratör: 15 farbige Tabellen 38 schwarz-weiße Abbildungen Bibliographie
Format: Pocket/Paperback
ISBN: 9783030053116
Språk: Engelska
Antal sidor: 88
Utgivningsdatum: 2019-05-11
Förlag: Springer Nature Switzerland AG