This work deals with positively curved compact Riemannian manifolds which are acted on by a closed Lie group of isometrics 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.
Immersions of cohomogeneity one Riemannian manifolds / F. PODESTA'. - In: MONATSHEFTE FÜR MATHEMATIK. - ISSN 0026-9255. - STAMPA. - 122:(1996), pp. 215-225. [10.1007/bf01320185]
Immersions of cohomogeneity one Riemannian manifolds
PODESTA', FABIO
1996
Abstract
This work deals with positively curved compact Riemannian manifolds which are acted on by a closed Lie group of isometrics 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.File in questo prodotto:
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