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. Combining with previous results of the author this completes the classification of positively curved cohomogeneity one manifolds in the even dimensional case.
Cohomogeneity one Manifolds of Even Dimension with Strictly Positive Curvature / L. VERDIANI. - In: JOURNAL OF DIFFERENTIAL GEOMETRY. - ISSN 0022-040X. - STAMPA. - 68:(2004), pp. 31-72.
Cohomogeneity one Manifolds of Even Dimension with Strictly Positive Curvature
VERDIANI, LUIGI
2004
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. Combining with previous results of the author this completes the classification of positively curved cohomogeneity one manifolds in the even dimensional case.File in questo prodotto:
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