Introduction to Riemannian Manifolds (Graduate Texts in Mathematics, 176)
ISBN-13:
9783319917542
ISBN-10:
3319917544
Edition:
2nd ed. 2018
Author:
Lee
Publication date:
2019
Publisher:
Springer
Format:
Hardcover
452 pages
Category:
Geometry & Topology
,
Mathematics
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Book details
ISBN-13:
9783319917542
ISBN-10:
3319917544
Edition:
2nd ed. 2018
Author:
Lee
Publication date:
2019
Publisher:
Springer
Format:
Hardcover
452 pages
Category:
Geometry & Topology
,
Mathematics
Summary
Introduction to Riemannian Manifolds (Graduate Texts in Mathematics, 176) (ISBN-13: 9783319917542 and ISBN-10: 3319917544), written by authors
Lee, was published by Springer in 2019.
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Description
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.
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