Introduction to Riemannian Manifolds (Graduate Texts in Mathematics (176))

Acknowledged authors John M. , Lee wrote Introduction to Riemannian Manifolds (Graduate Texts in Mathematics (176)) comprising 452 pages back in 2019. Textbook and eTextbook are published under ISBN 3319917544 and 9783319917542. Since then Introduction to Riemannian Manifolds (Graduate Texts in Mathematics (176)) textbook was available to sell back to BooksRun online for the top buyback price of $ 12.78 or rent at the marketplace.

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.