Geometry of Manifolds with Non-negative Sectional Curvature

Download or read book Geometry of Manifolds with Non-negative Sectional Curvature written by Owen Dearricott and published by Springer. This book was released on 2014-07-22 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.