Curvature collineations on Lie algebroid structure

نویسندگان

  • Constantin Arcus Secondary School "Cornelius Radu", Radinesti Village, 217196 Gorj County, Romania
  • Esa Sharahi Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran
  • Esmaeil Peyghan Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran
چکیده مقاله:

Considering prolongation of a Lie algebroid equipped with a spray, defining some classical tensors, we show that a Lie symmetry of a spray is a curvature collineation for these tensors.

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15 صفحه اول

Curvature collineations in spray manifolds

Curvature collineations of a spray manifold induced by the Lie symmetries of the underlying spray are studied. The basic observation is that the Jacobi endomorphism and the Berwald curvature are invariant under these symmetries; this implies the invariance of the further curvature data. Our main technical tool is an appropriate Lie derivative operator along the tangent bundle projection. M.S.C....

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عنوان ژورنال

دوره 8  شماره 2

صفحات  47- 63

تاریخ انتشار 2017-12-01

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