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Invariant monotone vector fields on Riemannian manifolds

✍ Scribed by A. Barani; M.R. Pouryayevali

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
528 KB
Volume
70
Category
Article
ISSN
0362-546X

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✦ Synopsis

Various concepts of invariant monotone vector fields on Riemannian manifolds are introduced. Some examples of invariant monotone vector fields are given. Several notions of invexities for functions on Riemannian manifolds are defined and their relations with invariant monotone vector fields are studied.

πŸ“œ SIMILAR VOLUMES

Cohomogeneity one Riemannian manifolds a
Cohomogeneity one Riemannian manifolds and Killing fields
✍ Fabio PodestΓ  πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 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