An invitation to Alexandrov geometry : CAT(0) spaces

By:

Alexander, Stephanie

Contributor(s):

Material type: Text

9783030053116

Subject(s):

DDC classification:

516.36 ALE-I

Contents:

1. Preliminaries

2. Gluing theorem and billiards

3. Globalization and asphericity

4. Subsets

Summary: 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.

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
Books	IIITD General Stacks	Mathematics	516.36 ALE-I (Browse shelf(Opens below))	Available		013765

Total holds: 0

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Previous	516.352 BEA-C Complex algebraic surfaces	516.352 MIR-A Algebraic curves and Riemann surfaces	516.352 SIL-R Rational points on elliptic curves	516.36 ALE-I An invitation to Alexandrov geometry : CAT(0) spaces	516.36 ARA-D Differential geometry	516.36 BAR-E Elementary differential geometry	516.36 BAR-E Elementary differential geometry	Next

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.

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