An Invitation to Alexandrov Geometry

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  • An Invitation to Alexandrov Geometry Book Detail

  • Author : Stephanie Alexander
  • Release Date : 2019-05-08
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 88
  • ISBN 13 : 3030053121
  • File Size : 96,96 MB

An Invitation to Alexandrov Geometry by Stephanie Alexander PDF Summary

Book 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.

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