Conformal vector fields on Finsler manifolds
Differential Geometry
2011-11-08 v1
Abstract
Applying concepts and tools from classical tangent bundle geometry and using the apparatus of the calculus along the tangent bundle projection ('pull-back formalism'), first we enrich the known lists of the characterizations of affine vector fields on a spray manifold and conformal vector fields on a Finsler manifold. Second, we deduce consequences on vector fields on the underlying manifold of a Finsler structure having one or two of the mentioned geometric properties.
Keywords
Cite
@article{arxiv.1111.1629,
title = {Conformal vector fields on Finsler manifolds},
author = {József Szilasi and Anna Tóth},
journal= {arXiv preprint arXiv:1111.1629},
year = {2011}
}