Geometry of Manifolds with Non-negative Sectional Curvature

1. Front Matter

   Pages i-vii

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2. Riemannian Manifolds with Positive Sectional Curvature

   • Wolfgang Ziller

   Pages 1-19

3. An Introduction to Isometric Group Actions with Applications to Spaces with Curvature Bounded from Below

   • Catherine Searle

   Pages 21-43

4. A Note on Maximal Symmetry Rank, Quasipositive Curvature, and Low Dimensional Manifolds

   • Fernando Galaz-Garcia

   Pages 45-55

5. Lectures on n-Sasakian Manifolds

   • Owen Dearricott

   Pages 57-109

6. On the Hopf Conjecture with Symmetry

   • Lee Kennard

   Pages 111-116

7. An Introduction to Exterior Differential Systems

   • Gregor Weingart

   Pages 117-196

8. Back Matter

   Pages 197-198

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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.

• 53C21;57S25;53C23;58A15;58A20.22Exx;22Fxx,53Cxx;
• Cohomogeneity one action
• Lie group action
• Non-negative sectional curvature
• Riemannian manifolds
• n-Sasakian manifolds

• 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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