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 stud
Affine conformal vector fields in semi-Riemannian manifolds
β Scribed by K. L. Duggal
- Publisher
- Springer Netherlands
- Year
- 1991
- Tongue
- English
- Weight
- 959 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0167-8019
No coin nor oath required. For personal study only.
β¦ Synopsis
Alntract. This paper is devoted to a systematic presentation of the essential results of research on a~ne conformal vector fields (ACV) and to exhibit the state of art as it now stands. Of particular interest is the new information on the existence of ACVs in compact orientable semi-Riemannian manifolds, their link with first integrals of the geodesics and the separability structures.
π SIMILAR VOLUMES
We study the stability and instability of harmonic and minimal unit vector fields and the existence of absolute minima for the energy and volume functional on three-dimensional compact manifolds, in particular on compact quotients of unimodular Lie groups.
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