Geometry of Manifolds with Non-negative Sectional Curvature: Editors: Rafael Herrera, Luis Hernández-Lamoneda...

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Owen Dearricott Fernando Galaz-García

Geometry of Manifolds with Non-negative Sectional Curvature

Editors: Rafael Herrera, Luis Hernández-Lamoneda

Owen Dearricott, Fernando Galaz-García, Lee Kennard , Catherine Searle

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English

Springer International Publishing AG
05 August 2014

Numerical analysis; Differential & Riemannian geometry; Analytic geometry

Series: Lecture Notes in Mathematics

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.

By: Owen Dearricott, Fernando Galaz-García, Lee Kennard, Catherine Searle, Gregor Weingart
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: 2014 ed.
Volume: 2110
Dimensions: Height: 235mm, Width: 155mm, Spine: 11mm
Weight: 3.226kg
ISBN: 9783319063720
ISBN 10: 3319063723
Series: Lecture Notes in Mathematics
Pages: 196
Publication Date: 05 August 2014
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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.