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Immersions of cohomogeneity one Riemannian manifolds

✍ Scribed by Fabio Podestà


Publisher
Springer Vienna
Year
1996
Tongue
English
Weight
472 KB
Volume
122
Category
Article
ISSN
0026-9255

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📜 SIMILAR VOLUMES


Cohomogeneity one Riemannian manifolds a
✍ Fabio Podestà 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 557 KB

This paper is devoted to the study of isometries of cohomogeneity one Riemannian spaces, namely Riemannian manifolds acted on by a Lie group of isometries G with principal ort';ts of codimension one. We show that, for a class of such manifolds, every one parameter group of isometrics preserves the f

Lower curvature bounds and cohomogeneity
✍ Lorenz J. Schwachhöfer 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 186 KB

We shall discuss Riemannian metrics of fixed diameter and controlled lower curvature bound. As in [34], we give a general construction of invariant metrics on homogeneous vector bundles of cohomogeneity one, which implies, in particular, that any cohomogeneity one manifold admits invariant metrics o