Mukut Mani Tripathi

Generalized \({{(\kappa, \mu)}}\)-Space Forms

Generalized

ON SUBMANIFOLDS OF PARA-SASAKIAN MANIFOLDS

{{(\kappa, \mu)}}

Ricci solitons in contact metric manifolds

-space forms are introduced and studied. We examine in depth the contact metric case and present examples for all possible dimensions. We also analyse the trans-Sasakian case.

T-CURVATURE TENSOR ON A SEMI-RIEMANNIAN MANIFOLD

In this paper, we obtain some sufficient conditions for a 3-dimensional compact trans-Sasakian manifold of type (α, β) to be homothetic to a Sasakian manifold. A characterization of a 3-dimensional cosymplectic manifold is also obtained.

Improved Chen–Ricci inequality for curvature-like tensors and its applications

Almost semiinvariant ? -submanifolds of an almost paracontact metric manifold are dened and studied. Some characterizations of almost semiinvariant ? -submanifolds and semiinvariant ? -submanifolds are presented. A para-CR-structure is dened and it is proven that an almost semiinvariant ? -submanifold of a normal almost paracontact metric (and hence para-Sasakian) manifold with the proper invariant distribution always possesses a para-CR-structure. A counter example is also given. Integrability conditions for certain natural distributions arising on almost semiinvariant ? -submanifolds are obtained. Finally, certain parallel operators on submanifolds are investigated.