منابع مشابه
Concurrent vector fields on Finsler spaces
In this paper, we prove that a non-Riemannian isotropic Berwald metric or a non-Riemannian (α,β) -metric admits no concurrent vector fields. We also prove that an L-reducible Finsler metric admitting a concurrent vector field reduces to a Landsberg metric.In this paper, we prove that a non-Riemannian isotropic Berwald metric or a non-Riemannian (α,β) -metric admits no concurrent vector fi...
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Consequences of the existence of conformal vector fields in (locally) symmetric and conformal symmetric spaces, have been obtained. An attempt has been made for a physical interpretation of the consequences in the framework of general relativity.
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We study Riemannian or pseudo-Riemannian manifolds which carry the space of closed conformal vector fields of at least 2-dimension. Subject to the condition that at each point the set of closed conformal vector fields spans a non-degenerate subspace of the tangent space at the point, we prove a global and a local classification theorems for such manifolds.
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on a finsler manifold, we define conformal vector fields and their complete lifts and prove that incertain conditions they are homothetic.
متن کاملConformal change of special Finsler spaces
The present paper is a continuation of the foregoing paper [16]. The main aim is to establish an intrinsic investigation of the conformal change of the most important special Finsler spaces. Necessary and sufficient conditions for such special Finsler manifolds to be invariant under a conformal change are obtained. Moreover, the conformal change of Chern and Hashiguchi connections, as well as t...
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ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 2013
ISSN: 0926-2245
DOI: 10.1016/j.difgeo.2012.10.006