An Invitation to Alexandrov Geometry: CAT(0) Spaces - Couverture souple

Alexander, Stephanie; Kapovitch, Vitali; Petrunin, Anton

Couverture souple

ISBN 10 : 3030053113 ISBN 13 : 9783030053116

Editeur : Springer, 2019

Synopsis

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.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2019
• Langue: anglais
• ISBN 10: 3030053113
• ISBN 13: 9783030053116
• Reliure: Broché
• Nombre de pages: 100
• Coordonnées du fabricant: non disponible
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