Riemannian Geometry and Geometric Analysis (6th edition)
Jürgen Jost - Riemannian Geometry and Geometric Analysis (6th edition)
Published: 2011-07-28 | ISBN: 3642212972 | PDF | 630 pages | 3 MB
This established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research. The previous edition already introduced and explained the ideas of the parabolic methods that had found a spectacular success in the work of Perelman at the examples of closed geodesics and harmonic forms. It also discussed further examples of geometric variational problems from quantum field theory, another source of profound new ideas and methods in geometry.
The 6th edition includes a systematic treatment of eigenvalues of Riemannian manifolds and several other additions. Also, the entire material has been reorganized in order to improve the coherence of the book.