Conformal Vector Fields on Tangent Bundle of a Riemannian Manifold

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dc.creatorBidabad, B.
dc.creatorHedayatian, S.
dc.date2006-07-15
dc.date.accessioned2026-07-07T07:18:24Z
dc.date.available2026-07-07T07:18:24Z
dc.descriptionLet M be an n-dimensional Riemannian manifold and TM its tangent bundle. The conformal and fiber preserving vector fields on TM have well-known physical interpretations and have been studied by physicists and geometricians. Here we define a Riemannian or pseudo-Riemannian lift metric on TM, which is in some senses more general than other lift metrics previously defined on TM, and seems to complete these works. Next we study the lift conformal vector fields on its tangent bundle with this metric and prove among the others that, every complete lift conformal vector field on TM is homothetic, and moreover, every horizontal or vertical lift conformal vector field on TM is a Killing vector.
dc.identifierhttps://arxiv.org/abs/math/0607360
dc.identifierhttp://arxiv.org/abs/math/0607360
dc.identifierIranian Journal of Science & Technology, Transaction A, Vol. 29, No. A3, 2005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114287
dc.subjectDifferential Geometry
dc.subjectMetric Geometry
dc.subject53A30;53B20;53B40
dc.titleConformal Vector Fields on Tangent Bundle of a Riemannian Manifold
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