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Geometry of Manifolds with Non-negative Sectional Curvature

Editors: Rafael Herrera, Luis Hernández-Lamoneda

  • Book
  • © 2014

Overview

Part of the book series: Lecture Notes in Mathematics (LNM, volume 2110)

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Table of contents (6 chapters)

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About this book

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.

Authors and Affiliations

  • Centro de Investigación en Matemáticas, Guanajuato, Mexico

    Owen Dearricott

  • Westfälische Wilhelms-Universität, Münster, Germany

    Fernando Galaz-García

  • University of California, Santa Barbara, USA

    Lee Kennard

  • Department of Mathematics, Oregon State University, Corvallis, USA

    Catherine Searle

  • Instituto de Matemáticas - Cuernavaca, Universidad Nacional Autónoma de México, Cuernavaca, Mexico

    Gregor Weingart

  • Department of Mathematics, University of Pennsylvania, Philadelphia, USA

    Wolfgang Ziller

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