Stephanie Alexander, Vitali Kapovitch, Anton Petrunin

An Invitation to Alexandrov Geometry

CAT(0) Spaces

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• SpringerBriefs in Mathematics
• Verlag: Springer / Springer International Publishing / Springer, Berlin
• Artikelnr. des Verlages: 978-3-030-05311-6
• 1st ed. 2019
• Seitenzahl: 100
• Erscheinungstermin: 11. Mai 2019
• Englisch
• Abmessung: 235mm x 155mm x 6mm
• Gewicht: 166g
• ISBN-13: 9783030053116
• ISBN-10: 3030053113
• Artikelnr.: 54425666

Inhaltsangabe

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

Rezensionen

"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)