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Keywords:
spray manifold; Finsler manifold; projective vector field; affine vector field; conformal vector field
spray manifold; Finsler manifold; projective vector field; affine vector field; conformal vector field
Summary:
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.
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