An Invitation to Alexandrov Geometry

CAT(0) Spaces
1. Auflage 2019
ISBN: 978-3-030-05311-6
Verlag: Springer International Publishing

Buch, Englisch, 88 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 166 g

Reihe: SpringerBriefs in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Alexander, Stephanie

Petrunin, Anton

Kapovitch, Vitali

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie

Inhaltsverzeichnis

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