Riemannian Manifolds : An Introduction to Curvature
Material type:
TextPublication details: New York : Springer, 1997Description: xv, 224 p. : 20x27 cmISBN: - 0387983228 (softcover : acidfree paper)
- 516.373 LEE-R
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Air University Central Library Islamabad Mathematics | Mathematics | 516.373 LEE-R (Browse shelf(Opens below)) | Available | P13521 |
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| 515.64 JUR-G Geometric Control Theory | 515.7 KRE-I Introductory Functional Analysis with Applications | 515.9 ZIL-A A first course in complex analysis / | 516.373 LEE-R Riemannian Manifolds : An Introduction to Curvature | 518 GUS-A Analytical and Computational Methods of Advanced Engineering Mathematics | 518 GUS-A Analytical and Computational Methods of Advanced Engineering Mathematics | 518.0285 GIL-M Matlab : An Introduction with Applications |
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.
Includes bibliographical references (p. [209]-211) and index.
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