By Jürgen Jost
This tested reference paintings maintains to steer its readers to a few of the most well liked issues of latest mathematical learn. the former variation already brought and defined the guidelines of the parabolic tools that had came across a brilliant luck within the paintings of Perelman on the examples of closed geodesics and harmonic kinds. It additionally mentioned extra examples of geometric variational difficulties from quantum box concept, one other resource of profound new principles and techniques in geometry.
The 6th version contains a systematic therapy of eigenvalues of Riemannian manifolds and several additions. additionally, the complete fabric has been reorganized in an effort to increase the coherence of the book.
From the reviews:
"This booklet presents a truly readable advent to Riemannian geometry and geometric research. ... With the giant improvement of the mathematical topic of geometric research, the current textbook is such a lot welcome." Mathematical Reviews
"...the fabric ... is self-contained. every one bankruptcy ends with a suite of routines. lots of the paragraphs have a piece ‘Perspectives’, written with the purpose to put the cloth in a broader context and clarify additional effects and directions." Zentralblatt MATH
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