Geometry of Manifolds with Non-negative Sectional Curvature

Editors: Rafael Herrera, Luis Hernández-Lamoneda
2014
ISBN: 978-3-319-06372-0
Verlag: Springer International Publishing

Buch, Englisch, Band 2110, 196 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 3226 g

Reihe: 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.

Zielgruppe

Research

Autoren/Hrsg.

Dearricott, Owen

Galaz-García, Fernando

Ziller, Wolfgang

Kennard, Lee

Searle, Catherine

Weingart, Gregor

Fachgebiete

• Mathematik | Informatik Mathematik Topologie Analytische Topologie
• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie

Inhaltsverzeichnis

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.