An Invitation to Alexandrov Geometry: Cat(0) Spaces

Stephanie Alexander (Author) Vitali Kapovitch (Author)
& 1 more
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Description

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.

Product Details

Price
$69.99
Publisher
Springer
Publish Date
May 11, 2019
Pages
88
Dimensions
6.14 X 0.21 X 9.21 inches | 0.34 pounds
Language
English
Type
Paperback
EAN/UPC
9783030053116
BISAC Categories:

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About the Author

Stephanie Alexander is a writer and a family law attorney. She lives in Charleston, South Carolina, with her husband, their blended family of five children, and their miniature dachshund, Trinket.