Cohomogeneity One Manifolds of Even Dimension with Strictly Positive Sectional Curvature

Verdiani, Luigi

Verdiani, Luigi

J. Differential Geom., Tome 66 (2004) no. 3, p. 31-72 / Harvested from Project Euclid

Résumé

We show that the only compact positively curved Riemannian manifolds of even dimension acted on by a simple group with a codimension one orbit are the compact rank one symmetric spaces.

Publié le : 2004-09-14
Classification:

@article{1102536709,
     author = {Verdiani, Luigi},
     title = {Cohomogeneity One Manifolds of Even Dimension with Strictly Positive Sectional Curvature},
     journal = {J. Differential Geom.},
     volume = {66},
     number = {3},
     year = {2004},
     pages = { 31-72},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1102536709}
}

Verdiani, Luigi. Cohomogeneity One Manifolds of Even Dimension with Strictly Positive Sectional Curvature. J. Differential Geom., Tome 66 (2004) no. 3, pp.  31-72. http://gdmltest.u-ga.fr/item/1102536709/