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On a type of semisymmetric metric connection on a Riemannian manifold

De Uday Chand (Department of Pure Mathematics, University of Calcutta, Kolkata, West Bengal, India)
Barman Ajit (Kabi Nazrul Mahavidyalaya, Department of Mathematics, Sonamura, P.S. Sonamura, Dist. Sepahijala, Tripura, India)

We study a type of semisymmetric metric connection on a Riemannian manifold whose torsion tensor is almost pseudo symmetric and the associated 1-form of almost pseudo symmetric manifold is equal to the associated 1-form of the semisymmetric metric connection.

Keywords: semisymmetric metric connection, almost pseudo symmetric manifold, quasiconstant curvature, torseforming vector field