1.

Record Nr.

UNISA996213732903316

Autore

Dearricott Owen

Titolo

Geometry of Manifolds with Non-negative Sectional Curvature [[electronic resource] ] : Editors: Rafael Herrera, Luis Hernández-Lamoneda / / by Owen Dearricott, Fernando Galaz-García, Lee Kennard, Catherine Searle, Gregor Weingart, Wolfgang Ziller

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014

ISBN

3-319-06373-1

Edizione

[1st ed. 2014.]

Descrizione fisica

1 online resource (VII, 196 p. 5 illus.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 2110

Disciplina

516.07

Soggetti

Differential geometry

Manifolds (Mathematics)

Complex manifolds

Global analysis (Mathematics)

Differential Geometry

Manifolds and Cell Complexes (incl. Diff.Topology)

Global Analysis and Analysis on Manifolds

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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.

Sommario/riassunto

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.