Cohomogeneity One Manifolds of Even Dimension with Strictly Positive Sectional Curvature
Luigi Verdiani
Source: J. Differential Geom. Volume 68, Number 1 (2004), 31-72.
Abstract
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.
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Journal of Differential Geometry
