SANJIB KUMAR JANA 1, KANAK KANTI BAISHYA 2, BIKIRAN DAS 3 1. Vidyasagar College, University of Calcutta, Faculty, Department of Mathematics, Kolkata-700 006, Kolkata-India, India e-mail: skjana23@rediffmail.com
2. Kurseong College, University of North Bengal, Faculty, Department of Mathematics, Kurseong-734203, Darjeeling, India e-mail: kanakkanti.kc@gmail.com
3. Salesian College (Autonomous) Siliguri, University of North Bengal, Faculty, Department of Mathematics, Siliguri-734001, Darjeeling, India e-mail: bikiran.math@gmail.com
The object of the present study is to determine the effect of space-matter tensor in several types of curvature restrictions on Riemannian manifolds like Einstein manifold, quasi Ein-stein manifold, generalized quasi Einstein manifold and pseudo generalized quasi Einstein manifold.