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Riemannian geometry : a modern introduction / Isaac Chavel.

By:

Chavel, Isaac

Material type: Text

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

Media type:

unmediated

Carrier type:

volume

ISBN:

0521853680
0521619548
9780521853682
9780521619547

Subject(s):

Geometry, Riemannian

DDC classification:

516.373 C512r

Online resources:

Summary: "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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Holdings
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

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Previous					No cover image available No cover image available			Next
Previous	516.373 C154g 2005 IMPA Geometric mechanics on Riemannian manifolds: applications to partial differential equations/	516.373 C154s 2009 IMPA Sub-Riemannian geometry: general theory and examples/	516.373 C512r 1972 IMPA Riemannian symmetric spaces of rank one/	516.373 C512r 2006 IMPA Riemannian geometry : a modern introduction /	516.373 C521m 1968 IMPA Minimal submanifolds in a Riemannian manifold/	516.373 D759s 1989 IMPA Sottovarietà minimali ed applicazioni armoniche/	516.373 D794b 2004 IMPA Blow-up theory for elliptic PDEs in Riemannian geometry/	Next

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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