Geodesic
Conformal vector fields on Finsler manifolds
Communications in Mathematics, Tome 19 (2011) no. 2, pp. 149-168 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 53A30, 53C60
Keywords: spray manifold; Finsler manifold; projective vector field; affine vector field; conformal vector field 
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Szilasi, József; Tóth, Anna. Conformal vector fields on Finsler manifolds. Communications in Mathematics, Tome 19 (2011) no. 2, pp. 149-168. http://geodesic.mathdoc.fr/item/COMIM_2011_19_2_a4/

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