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A panoramic view of Riemannian geometry
Autor: Berger, Marcel
Rok: c2003
ISBN: 9783540653172
OCLC Number: (OCoLC)52714493
OCLC Number: (ocolc)52714493
OKCZID: 110152553
Citace (dle ČSN ISO 690):
BERGER, Marcel. A panoramic view of Riemannian geometry. Berlin: Springer, c2003. xxiii, 824 s.
Anotace
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.