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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 Berger, M., A Panoramic View of Riemannian Geometry (Springer, Berlin, 2003).10.1007/978-3-642-18245-7 CrossRef | Google Scholar.  Grafakos, L. A description for the nonmathematician. Euclidean Geometry is the study of flat space. Between every pair of points there is a unique line segment which is the ... 28 Nov 2017 ... On December 6 – 9, IHES will host the conference “Riemannian Geometry: Past, Present and Future: an homage to Marcel Berger”. Organised ...