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.
Rezensionen / Stimmen
"This monograph is a brief and well crafted introduction into this highly active field. ... This book is a pleasure to read and is highly recommended as a concise and stimulating introduction to metric geometry." (M. Kunzinger, Monatshefte für Mathematik, Vol. 196 (1), 2021)
Reihe
Sprache
Verlagsort
Verlagsgruppe
Springer International Publishing
Illustrationen
91
91 s/w Abbildungen
XII, 88 p. 91 illus.
Dateigröße
ISBN-13
978-3-030-05312-3 (9783030053123)
DOI
10.1007/978-3-030-05312-3
Schweitzer Klassifikation
