Riemannian Manifolds: An Introduction to Curvature (Graduate Texts in Mathematics)
John M. Lee
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Description for Riemannian Manifolds: An Introduction to Curvature (Graduate Texts in Mathematics)
Hardcover. 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. This title covers: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet's Theorem, and more. Series: Graduate Texts in Mathematics. Num Pages: 241 pages, biography. BIC Classification: PBMP. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 241 x 158 x 22. Weight in Grams: 522.
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.
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.
Product Details
Publisher
Springer
Format
Hardback
Publication date
1997
Series
Graduate Texts in Mathematics
Condition
New
Weight
521g
Number of Pages
226
Place of Publication
New York, NY, United States
ISBN
9780387982717
SKU
V9780387982717
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Riemannian Manifolds: An Introduction to Curvature (Graduate Texts in Mathematics)
This book is very well writen, pleasant to read, with many good illustrations. It deals with the core of the subject, nothing more and nothing less. Simply a recommendation for anyone who wants to teach or learn about the Riemannian geometry. Nieuw Archief voor Wiskunde, September 2000