𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Affine conformal vector fields in semi-Riemannian manifolds

✍ 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.

✦ 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.


πŸ“œ SIMILAR VOLUMES


Invariant monotone vector fields on Riem
✍ A. Barani; M.R. Pouryayevali πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 528 KB

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

Energy and volume of unit vector fields
✍ J.C. GonzΓ‘lez-DΓ‘vila; L. Vanhecke πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 171 KB

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.

Killing spinors are killing vector field
✍ D.V. Alekseevsky; V. CortΓ©s; C. Devchand; U. Semmelmann πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 880 KB

A supermanifold M is canonically associated to any pseudo-Riemannian spin manifold (Ma, go). Extending the metric go to a field g of bilinear forms g(p) on TpM, p E MO, the pseudo-Riemannian supergeometry of (M, g) is formulated as G-structure on M, where G is a supergroup with even part Go 2 Spin(k