Geometry of Manifolds with Non-negative Sectional Curvature
Editors: Rafael Herrera, Luis Hernández-Lamoneda
Nonfiction, Science & Nature, Mathematics, Topology, Geometry
| Author: | Owen Dearricott, Lee Kennard, Catherine Searle, Gregor Weingart, Wolfgang Ziller, Fernando Galaz-García | ISBN: | 9783319063737 |
| Publisher: | Springer International Publishing | Publication: | July 22, 2014 |
| Imprint: | Springer | Language: | English |
| Author: | Owen Dearricott, Lee Kennard, Catherine Searle, Gregor Weingart, Wolfgang Ziller, Fernando Galaz-García |
| ISBN: | 9783319063737 |
| Publisher: | Springer International Publishing |
| Publication: | July 22, 2014 |
| Imprint: | Springer |
| Language: | English |
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.
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.
