Geometry of Manifolds with Non-negative Sectional Curvature

Beschreibung

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.

Autor*in

Owen Dearricott

Themen in »Geometry of Manifolds with Non-negative Sectional Curvature«

53C21 57S25 53C23 58A15 58A20.22Exx 22Fxx,53Cxx Cohomogeneity one action Lie group action Non-negative sectional curvature Riemannian manifolds n-Sasakian manifolds

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