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Geometry of Manifolds with Non-negative Sectional Curvature [electronic resource] : Editors: Rafael Herrera, Luis Hernández-Lamoneda / by Owen Dearricott, Fernando Galaz-García, Lee Kennard, Catherine Searle, Gregor Weingart, Wolfgang Ziller.

By: Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 2110Publisher: Cham : Springer International Publishing : Imprint: Springer, 2014Description: VII, 196 p. 5 illus. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783319063737
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 516.36 23
LOC classification:
  • QA641-670
Online resources:
Contents:
Riemannian manifolds with positive sectional curvature -- An introduction to isometric group actions -- A note on maximal symmetry rank, quasipositive curvature and low dimensional manifolds -- Lectures on n-Sasakian manifolds -- On the Hopf conjecture with symmetry -- An Introduction to Exterior Differential Systems.
In: Springer eBooksSummary: 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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Riemannian manifolds with positive sectional curvature -- An introduction to isometric group actions -- A note on maximal symmetry rank, quasipositive curvature and low dimensional manifolds -- Lectures on n-Sasakian manifolds -- On the Hopf conjecture with symmetry -- An Introduction to Exterior Differential Systems.

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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