SpringerBriefs in Mathematics: CAT(0) Spaces

Alexander, Stephanie; Kapovitch, Vitali; Petrunin, Anton

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.

Details

Published by: Springer

Publication Date: 2019-05-11

Format: Paperback

ISBN-13: 9783030053116

DOI: 10.1007/978-3-030-05312-3

Dimensions: 235cm x155cm

Pages: 88