Riemannian geometry : a modern introduction / Isaac Chavel.
Material type: TextSeries: Cambridge studies in advanced mathematics ; 98.Publication details: New York : Cambridge University Press, 2006.Edition: 2nd edDescription: xvi, 471 pages : illustrations ; 24 cmContent type:- text
- unmediated
- volume
- 0521853680
- 0521619548
- 9780521853682
- 9780521619547
- 516.373 C512r
Item type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode |
---|---|---|---|---|---|---|---|
Books | Castorina | Livros (Books) | 516.373 C512r 2006 IMPA (Browse shelf(Opens below)) | 1 | Available | 39063000810004 |
Includes bibliographical references (pages 449-464) and indexes.
"Requiring only an understanding of differentiable manifolds, Isaac Chavel covers introductory ideas followed by a selection of more specialized topics in this second edition. He provides a clearer treatment of many topics, with new proofs of some theorems and a new chapter on the Riemannian geometry of surfaces. Among the classical topics shown in a new setting is isoperimetric inequalities in curved spaces. Completely new themes created by curvature include the classical Rauch comparison theorem and its consequences in geometry and topology, and the interaction of microscopic behavior of the geometry with the macroscopic structure of the space."--Publisher's website.
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