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Introduction to Riemannian Manifolds Book PDF Summary

This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet’s Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.

Detail Book of Introduction to Riemannian Manifolds PDF

Introduction to Riemannian Manifolds
  • Author : John M. Lee
  • Release : 02 January 2019
  • Publisher : Springer
  • ISBN : 9783319917559
  • Genre : Mathematics
  • Total Page : 437 pages
  • Language : English
  • PDF File Size : 21,6 Mb

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