Panoramic view of Riemannian geometry

By:

Berger, Marcel

Publication details: Springer - Verlag, 2003 Berlin:Description: xxiii, 824p. ; pb, 24 cmISBN:

9783642621215

Subject(s):

DDC classification:

516.36 BER

Summary: Riemannian geometry has today become a vast and important subject. This new book of Marcel Berger sets out to introduce readers to most of the living topics of the field and convey them quickly to the main results known to date. These results are stated without detailed proofs but the main ideas involved are described and motivated. This enables the reader to obtain a sweeping panoramic view of almost the entirety of the field. However, since a Riemannian manifold is, even initially, a subtle object, appealing to highly non-natural concepts, the first three chapters devote themselves to introducing the various concepts and tools of Riemannian geometry in the most natural and motivating way, following in particular Gauss and Riemann

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	General	516.36 BER (Browse shelf(Opens below))	1	Available		031012

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Previous	516.353 LAK Flag varieties - an interplay of geometry, combinatorics and representation theory	516.353 LAN Abelian varieties	516.355 WEI Guide to advanced linear algebra, vol.44	516.36 BER Panoramic view of Riemannian geometry	516.36 CAR Differential geometry of curves and surfaces	516.36 GRA Modern differential geometry of curves and surfaces with mathematica	516.36 HEL Radon transform	Next

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Riemannian geometry has today become a vast and important subject. This new book of Marcel Berger sets out to introduce readers to most of the living topics of the field and convey them quickly to the main results known to date. These results are stated without detailed proofs but the main ideas involved are described and motivated. This enables the reader to obtain a sweeping panoramic view of almost the entirety of the field. However, since a Riemannian manifold is, even initially, a subtle object, appealing to highly non-natural concepts, the first three chapters devote themselves to introducing the various concepts and tools of Riemannian geometry in the most natural and motivating way, following in particular Gauss and Riemann

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