Providing an up-to-date overview of the geometry of manifolds with non-negative sectional curvature, this volume gives a detailed account of the most recent research in the area. The lectures cover a wide range of topics such as general isometric group actions, circle actions on positively curved four manifolds, cohomogeneity one actions on Alexandrov spaces, isometric torus actions on Riemannian manifolds of maximal symmetry rank, n-Sasakian manifolds, isoparametric hypersurfaces in spheres, contact CR and CR submanifolds, Riemannian submersions and the Hopf conjecture with symmetry. Also included is an introduction to the theory of exterior differential systems.
ISBN: | 9783319063720 |
Publication date: | 5th August 2014 |
Author: | Recent Advances in the Geometry of Manifolds with Nonnegative Sectional Curvature Meeting, Owen Dearricott |
Publisher: | Springer an imprint of Springer International Publishing |
Format: | Paperback |
Pagination: | 196 pages |
Series: | Lecture Notes in Mathematics |
Genres: |
Differential and Riemannian geometry Topology Calculus and mathematical analysis |