Riemannian Geometry and Geometric Analysis
Publication year: 2008
ISBN: 978-3-540-77341-2
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This established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research.This new edition introduces and explains the ideas of the parabolic methods that have recently found such a spectacular success in the work of Perelman at the examples of closed geodesics and harmonic forms. It also discusses further examples of geometric variational problems from quantum field theory, another source of profound new ideas and methods in geometry.
Subject: Mathematics and Statistics, Floer homology, Kähler geometry, Morse theory, Riemannian geometry, Seiber-Witten functionals, curvature, harmonic maps, manifold, symmetric spaces
