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Category: Volume 32

On the Weyl projective curvature tensor of the projective semi-symmetric connection in an SP-Sasakian manifold

TEERATHRAM RAGHUWANSHI
Department of Mathematics,University Institute of Technology,Rajiv Gandhi Proudyogiki Vishwavidyalaya, Bhopal- -462033, Madhya Pradesh ( India)
SHRAVAN KUMAR PANDEY
Department of Mathematical Sciences, A.P.S. University, Rewa-486003, Madhya Pradesh (India)
MANOJ KUMAR PANDEY
Department of Mathematics,University Institute of Technology,Rajiv Gandhi Proudyogiki Vishwavidyalaya, Bhopal- -462033, Madhya Pradesh ( India)
ANIL GOYAL
Department of Mathematics,University Institute of Technology,Rajiv Gandhi Proudyogiki Vishwavidyalaya, Bhopal- -462033, Madhya Pradesh ( India)

ABSTRACT:

The objective of the present paper is to study the W2-curvature tensor of the projective semi-symmetric connection in an SP-Sasakian manifold. It is shown that an SP-Sasakian manifold satisfying the conditions ܲ\simP ⋅W2\sim ܹ = 0 is an Einstein manifold and ܹW2\sim . ܲP\sim = 0 is a quasi Einstein manifold.

KEYWORDS: Projective semi-symmetric connection, SP-Sasakian manifold,, quasi-Einstein manifold,,


Lrs Bianchi Type-II Cosmological Model with Bulk Viscosity and Dust Distribution in C-Field Theory

JAIPAL SINGH
Department of Mathematics and Statistics, University College of Science, MLS University, Udaipur- 313001 (India)
ATULTYAGI
Department of Mathematics and Statistics, University College of Science, MLS University, Udaipur- 313001 (India)
GAJENDRA PAL SINGH
Department of Mathematics, Geetanjali Institute of Technical Studies, Udaipur-313001 (India)

ABSTRACT:

We have investigated LRS Bianchi type-II cosmological model with bulk viscosity and dust distribution in C-field theory. We assume that the matter content of the universe is in the form of dust which leads to p = 0. To get the deterministic model of the universe we assumed A = B, where A and B are metric potentials. We find that the creation field (C) increase with time which matches with the result of H.N. theory. The physical and geometrical aspects of the model are also discussed.

KEYWORDS: LRS Bianchi type-II, C-field, Bulk viscosity, , Cosmology