Complete Lift Conformal Vector Fields on Finsler Manifolds

Simple item page
dc.creatorBidabad, B.
dc.date2006-08-07
dc.date.accessioned2026-07-07T07:21:27Z
dc.date.available2026-07-07T07:21:27Z
dc.descriptionIn Finsler geometry the complete lift vector fields have distinguished geometric significance. For example a vector field on a Finsler manifold is said to be conformal if its complete lift is conformal in usual sense. In this work we define a new Riemannian or Pseudo-Riemannian metric on TM derived from a Finsler metric on the base manifold M. This metric is in some senses more general than the other lift metrics defined previously on TM and then we study the complete lift vector fields on TM. More precisely we prove; Let (M,g) be a Finsler manifold, TM its tangent bundle and G a Riemannian metric on TM derived from g. Then every complete lift conformal vector field is homothetic.
dc.identifierhttps://arxiv.org/abs/math/0608161
dc.identifierhttp://arxiv.org/abs/math/0608161
dc.identifierBalkan Journal of Geometry and Its Applications, Vol.11, No.1, 2006, pp. 28-35
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115309
dc.subjectDifferential Geometry
dc.titleComplete Lift Conformal Vector Fields on Finsler Manifolds
dc.typetext

Files

Collections

arXiv