No abstract

The object of this paper is to study symmetric properties of Sasakian generalized Sasakian-space-form with respect to generalized Tanaka–Webster connection. We studied semisymmetry and Ricci semisymmetry of Sasakian generalized Sasakian-space-form with respect to generalized Tanaka–Webster connection. Further we obtain results for Ricci pseudosymmetric and Ricci-generalized pseudosymmetric Sasakian generalized Sasakian-space-form.

In this paper we study τ-curvature tensor in generalized Sasakian-space-form. We study semisymmetric generalized Sasakian-space-form and obtain results for particular cases. We also study generalized Sasakian-space-form satisfying . We also obtain some results for all particular cases of τ -Curvature tensor.

In this paper we studied some properties of trans Sasakian manifold admitting a quarter-symmetric non-metric connection. We studied some symmetric properties with respect to quarter symmetric non-metric connection and we obtain results in locally symmetric, Ricci semi-symmetric and generalized recurrent trans Sasakian manifolds. We also obtained the necessary and sufficient condition for group manifolds.

The object of the present paper is to study Ricci solitons in \alfacosymplectic manifolds. Projective, pseudo projective and Weyl conformal curvature in an \alfa cosymplectic manifolds admitting Ricci solitons have been studied under certain curvature conditions. Also gradient Ricci solitons in \alfa  cosymplectic manifolds have been studied.