Induced vector fields and metric transformations.

Kitayama, Masashi

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On some characterizations of the complex number field

W. Więsław (1972)

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A necessary and sufficient condition for a vector field to be Killing.

Carlos Currás Bosch (1979)

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Conformal vector fields on Finsler manifolds

József Szilasi, Anna Tóth (2011)

Communications in Mathematics

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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.