Weakly symmetry of a class of g-natural metrics on tangent bundles

Esmaeil Peyghan

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arXiv · 1403.7107

Weakly symmetry of a class of g-natural metrics on tangent bundles

Esmaeil Peyghan

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Abstract

Considering the class G of g-natural metrics on the tangent bundle of a Riemannian manifold (M, g), it is shown that the flatnees for g is a necessary and sufficient condition of weakly symmetry (recurrent or pseudo-symmetry) of G. In particular, the cases of weakly symmetric Sasakian lift metric studied by Bejan and Crasmareanu and recurrent or pseudo-symmetric Sasakian lift metric studied by Binh and Tamassy are obtained.

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Esmaeil Peyghan. 2014-03-14. Weakly symmetry of a class of g-natural metrics on tangent bundles. https://arxiv.org/abs/1403.7107

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