1.

Record Nr.

UNISALENTO991002954189707536

Titolo

Geometry of manifolds with non-negative sectional curvature [e-book] / Owen Dearricott, Rafael Herrera, Luis Hernández-Lamoneda

Pubbl/distr/stampa

Cham [Switzerland] : Springer, 2014

ISBN

9783319063737

Descrizione fisica

1 online resource (196 pages)

Collana

Lecture notes in mathematics, 1617-9692 ; 2110

Classificazione

AMS 53C20

AMS 53C21

AMS 57S25

LC QA613

Altri autori (Persone)

Dearricott, Owenauthor

Hernández Lamoneda, Luisauthor

Herrera, Rafaelauthor

Disciplina

516.07

Soggetti

Global analysis (Mathematics)

Global differential geometry

Cell aggregation - Mathematics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references

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