Sibel Sular

GENERALIZED SASAKIAN SPACE FORMS WITH SEMI-SYMMETRIC METRIC CONNECTIONS

Abstract The aim of the present paper is to introduce generalized Sasakian space forms endowed with semi-symmetric metric connections. We obtain the existence theorem of a generalized Sasakian space form with semi-symmetric metric connection and we give some examples by using warped products endowed with semi-symmetric metric connection.

Characterizations of Generalized Quasi-Einstein Manifolds

Abstract We give characterizations of generalized quasi-Einstein manifolds for both even and odd dimensions

Chen Inequalities For Submanifolds Of Generalized Space Forms With a Semi-symmetric Metric Connection

We investigate sharp inequalities for submanifolds in both generalized complex space forms and generalized Sasakian space forms with a semisymmetric metric connection.

Doubly Warped Product Submanifolds of a Riemannian Manifold of Quasi-Constant Curvature

Abstract We establish a sharp inequality for a doubly warped product submanifold in a Riemannian manifold of quasi-constant curvature.

ON QUASI-EINSTEIN WARPED PRODUCTS

Abstract We study quasi-Einstein warped product manifolds for arbitrary dimension n >3.