TY  - GEN
AU  - Berger, Marcel
TI  - Panoramic view of Riemannian geometry
SN  - 9783642621215
U1  - 516.36 
PY  - 2003///
CY  - Berlin
PB  - Springer - Verlag
KW  - Geometry - Riemannian
KW  - Mathematics
KW  - Global differential geometry
KW  - Mathematics - Geometry
N1  - Includes references
N2  - 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
ER  -