Chavel, Isaac.

Riemannian geometry : a modern introduction / Isaac Chavel. - 2nd ed. - New York : Cambridge University Press, 2006. - xvi, 471 pages : illustrations ; 24 cm. - Cambridge studies in advanced mathematics ; 98 . - Cambridge studies in advanced mathematics ; 98. .

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.


Current Copyright Fee: GBP22.50 0.

0521853680 0521619548 9780521853682 9780521619547

9780521853682 9780521619547

2005029338

GBA604199 bnb

013354546 Uk


Geometry, Riemannian.

516.373 / C512r