Immersions of cohomogeneity one Riemannian manifolds |
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Authors: | Fabio Podestà |
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Affiliation: | (1) Dept. of Mathematics, University of Parma, V. M. D'Azeglio 85, Parma, Italy |
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Abstract: | This work deals with positively curved compact Riemannian manifolds which are acted on by a closed Lie group of isometries whose principal orbits have codimension one and are isotropy irreducible homogeneous spaces. For such manifolds we can show that their universal covering manifold may be isometrically immersed as a hypersurface of revolution in an euclidean space. |
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Keywords: | 53C25 53C30 |
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