An invitation to Alexandrov geometry : CAT(0) spaces
Alexander, Stephanie
An invitation to Alexandrov geometry : CAT(0) spaces by Stephanie Alexander, Vitali Kapovitch and Anton Petrunin - Switzerland : Springer, ©2019 - xii, 88 p. : ill. ; 24 cm. - SpringerBriefs in Mathematics, 2191-8198 . - SpringerBriefs in Mathematics .
Includes bibliographic references and index.
1. Preliminaries 2. Gluing theorem and billiards 3. Globalization and asphericity 4. Subsets
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.
9783030053116
Differential geometry.
Group theory.
Differential Geometry.
Group Theory and Generalizations.
516.36 / ALE-I
An invitation to Alexandrov geometry : CAT(0) spaces by Stephanie Alexander, Vitali Kapovitch and Anton Petrunin - Switzerland : Springer, ©2019 - xii, 88 p. : ill. ; 24 cm. - SpringerBriefs in Mathematics, 2191-8198 . - SpringerBriefs in Mathematics .
Includes bibliographic references and index.
1. Preliminaries 2. Gluing theorem and billiards 3. Globalization and asphericity 4. Subsets
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.
9783030053116
Differential geometry.
Group theory.
Differential Geometry.
Group Theory and Generalizations.
516.36 / ALE-I