Conformal vector fields with respect to the Sasaki metric tensor |
| |
| Authors: | F M ?im?ir Cem Tezer |
| |
| Institution: | (1) Middle East Technical University, Northern Crprus Campus, Kalkanh, Güzelyurt, via Mersin 10, Turkey;(2) Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey |
| |
| Abstract: | The purpose of this article is to characterize conformal vector fields with respect to the Sasaki metric tensor field on the
tangent bundle of a Riemannian manifold of dimension at least three. In particular, if the manifold in question is compact,
it is found that the only conformal vector fields are Killing vector fields. |
| |
| Keywords: | 53B21 53A45 53B50 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
