Geometry of Manifolds with Non-negative Sectional Curvature

Editors: Rafael Herrera, Luis Hernández-Lamoneda

Nonfiction, Science & Nature, Mathematics, Topology, Geometry
Cover of the book Geometry of Manifolds with Non-negative Sectional Curvature by Owen Dearricott, Lee Kennard, Catherine Searle, Gregor Weingart, Wolfgang Ziller, Fernando Galaz-García, Springer International Publishing
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Author: Owen Dearricott, Lee Kennard, Catherine Searle, Gregor Weingart, Wolfgang Ziller, Fernando Galaz-García ISBN: 9783319063737
Publisher: Springer International Publishing Publication: July 22, 2014
Imprint: Springer Language: English
Author: Owen Dearricott, Lee Kennard, Catherine Searle, Gregor Weingart, Wolfgang Ziller, Fernando Galaz-García
ISBN: 9783319063737
Publisher: Springer International Publishing
Publication: July 22, 2014
Imprint: Springer
Language: English

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.

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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.

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