An Introduction to Riemannian Geometry

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  • An Introduction to Riemannian Geometry Book Detail

  • Author : Leonor Godinho
  • Release Date : 2014-07-26
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 476
  • ISBN 13 : 3319086669
  • File Size : 36,36 MB

An Introduction to Riemannian Geometry by Leonor Godinho PDF Summary

Book Description: Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity. The first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature. The second part studies applications to mechanics and relativity including the proofs of the Hawking and Penrose singularity theorems. It can be independently used for one-semester courses in either of these subjects. The main ideas are illustrated and further developed by numerous examples and over 300 exercises. Detailed solutions are provided for many of these exercises, making An Introduction to Riemannian Geometry ideal for self-study.

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An Introduction to Riemannian Geometry

An Introduction to Riemannian Geometry

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Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity. The first pa

Riemannian Geometry

Riemannian Geometry

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Intended for a one year course, this volume serves as a single source, introducing students to the important techniques and theorems, while also containing enou

Riemannian Geometry

Riemannian Geometry

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Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese) for first-year graduate students i