On Weakly Concircular Symmetries of Three-Dimensional ${\epsilon}-$Trans-Sasakian Manifolds


Keywords:
Weakly symmetric, weakly concircular symmetric, weakly Ricci symmetric, weakly concircular Ricci symmetric manifold, $\epsilon $-trans Sasakian manifoldAbstract
The object of the present paper is to study weakly concircular symmetric and weakly concircular Ricci symmetric three-dimensional $\epsilon-$ Trans-Sasakian manifolds. Futher, non existence of weakly concircular symmetric$\ $and weakly concircular Ricci symmetric three dimensional $\epsilon-$Trans-Sasakian manifolds has been proved under certain conditions.
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