Customer Reviews

A Panoramic View of Riemannian Geometry

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This is a beautifully written survey of a wide swath of modern mathematics and mathematical physics related to Riemannian geometry. For a non-expert, like me, it allowed me to get a broad perspective on the field without having to struggle through so many proofs. The explanations are clear and rigorous (two goals which are frequently in conflict). There is a vast bibliography as well. A number of problems I was familiar with in other contexts turn out to have unplumbed (by me at least) geometrical significance. All in all, a wonderful book.

Excellent exposition of a wide variety of topics in geometry for the non-expert like me. It helped me get a better grasp of a number of differential geometric structures that are used in theoretical physics these days, without having to wade through a bunch of proofs. The list of references is immense, so that the reader can follow up with more detailed, and more rigorous, material for topics of choice. Highly recommended for mathematicians and physicists alike.

This book is a good reference for anyone who wants to know about the development of riemannian geometry. It covers many active topics in modern differential geometry for every graduated students who can choose some interested fields for the thesis.