bokomslag Invitation to Alexandrov Geometry

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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 Hadamard-Cartan globalization theorem is explored and applied to construct exotic aspherical manifolds.

Författare: Stephanie Alexander, Vitali Kapovitch, Anton Petrunin
Format: Pocket/Paperback
ISBN: 9783030053116
Språk: Engelska
Antal sidor: 88
Utgivningsdatum: 2019-05-11
Förlag: Springer Nature Switzerland AG