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The exponential map at an isolated singular point

About this Title

David A. Stone

Publication: Memoirs of the American Mathematical Society
Publication Year: 1982; Volume 35, Number 256
ISBNs: 978-0-8218-2256-2 (print); 978-1-4704-0663-9 (online)
DOI: https://doi.org/10.1090/memo/0256
MathSciNet review: 643443
MSC: Primary 53B99; Secondary 14B05, 57Q99

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Table of Contents

Chapters

  • 1. Introduction
  • 2. First-order properties
  • 3. The role of an upper bound on sectional curvature
  • 4. $e_p^{-1}$ is infinitesimally one-to-one
  • 5. One-parameter families of geodesics from $P$
  • 6. The exponential map at $P$
  • 7. Affine complex analytic hypersurfaces