ENGLISH

A Panoramic View of Riemannian Geometry

By Marcel Berger (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2003
ISBN
978-3-642-62121-5, 978-3-642-18245-7
DOI
10.1007/978-3-642-18245-7
Language
english
Format
PDF
Filesize
16 MB (16475812 bytes)
Edition
1
Pages
824\834
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Differential Geometry

Description

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.

Similar books