Conformal vector fields with respect to the Sasaki metric tensor |
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Authors: | F. M. Şimşir Cem Tezer |
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Affiliation: | (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 |
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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. |
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Keywords: | 53B21 53A45 53B50 |
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