Geometry of Manifolds with Non-negative Sectional Curvature - Recent Advances presented at CIMAT, Guanajuato, México 2010, Editors: Rafael Herrera, Luis Hernández-Lamoneda

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.

List of 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.

Summary

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.

Product details

• Authors: Owe Dearricott, Owen Dearricott, Fernando Galaz Garcia, Fernand Galaz-García, Fernando Galaz-García, L Kennard, Lee Kennard, Catherine Searle, Gregor Weingart, Wolfgang Ziller
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 20.03.2014
• EAN: 9783319063720
• ISBN: 978-3-31-906372-0
• No. of pages: 196
• Dimensions: 161 mm x 12 mm x 239 mm
• Weight: 324 g
• Illustrations: VII, 196 p. 5 illus.
• Series: Lecture Notes in Mathematics; Lecture Notes in Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; B, Mathematics and Statistics, Differential Geometry, Numerical analysis, Manifolds and Cell Complexes (incl. Diff.Topology), Manifolds (Mathematics), Analytic geometry, Manifolds and Cell Complexes, Complex manifolds, Analytic topology, Global analysis (Mathematics), Global Analysis and Analysis on Manifolds