Showing papers by "Arindam Bhattacharyya published in 2017"

On Einstein Warped Products with a Quarter-Symmetric Connection

Abstract: This paper characterizes the warping functions for a multiply generalized Robertson–Walker space-time to get an Einstein space M with a quarter-symmetric connection for different dimensions of M (i.e. (1). dim M = 2, (2). dim M ≥ 3) when all the fibers are Ricci flat. Then we have also computed the warping functions for a Ricci flat Einstein multiply warped product spaces M with a quarter-symmetric connection for different dimensions of M (i.e. (1). dim M = 2, (2). dim M = 3, (3). dim M ≥ 4) and all the fibers are Ricci flat. In the last section, we have given two examples of multiply generalized Robertson–Walker space-time with respect to quarter-symmetric connection.

The Fischer-Marsden Solutions on Almost CoKähler Manifold

Abstract: In this paper, we characterize the solutions of the Fischer-Marsden equation Lg(λ) = 0 on an almost CoKähler manifold. We prove that the Fischer-Marsden equation has only trivial solution on almost CoKähler manifold of dimension greater than 3 with ξ belonging to the (κ, μ)-nullity distribution and κ < 0.

Ricci Soliton and eta-Ricci Soliton on Generalized Sasakian Space Form

Abstract: The aim of the present paper is to study Ricci soliton, eta-Ricci soliton and various types of curvature tensors on Generalized Sasakian space form. We have also studied conformal killing vector field, torse forming vector field on Generalized Sasakian space form. We have also established suitable examples of Kenmotsu manifold, Sasakian manifold and cosymplectic manifold respectively.

Warped product and quasi-Einstein metrics

Abstract: Warped products provide a rich class of physically significant geometric objects. Warped product construction is an important method to produce a new metric with a base manifold and a fibre. We construct compact base manifolds with a positive scalar curvature which do not admit any non-trivial quasi-Einstein warped product, and non compact complete base manifolds which do not admit any non-trivial Ricci-flat quasi-Einstein warped product

Some classes of Lorentzian α-Sasakian manifolds with respect to quarter-symmetric metric connection

Abstract: The aim of this paper is to study generalized recurrent, generalized Ricci-recurrent, weakly symmetric and weakly Ricci-symmetric, semi-generalized recurrent, semi-generalized Ricci-recurrent Lorentzian α-Sasakian manifold with respect to quarter-symmetric metric connection. Finally, we give an example of 3-dimensional Lorentzian α-Sasakian manifold with respect to quarter-symmetric metric connection.

Some Classes of Lorentzian Alpha-Sasakian Manifolds with Respect to Quarter-Symmetric Metric Connection

Abstract: Abstract The object of the present paper is to study a quarter-symmetric metric connection in a Lorentzian α-Sasakian manifold. We study some curvature properties of Lorentzian α-Sasakian manifold with respect to quarter-symmetric metric connection. We investigate quasi-projectively at, ϕ-symmetric, ϕ-projectively at Lorentzian α-Sasakian manifolds with respect to quartersymmetric metric connection. We also discuss Lorentzian α-Sasakian manifold admitting quarter-symmetric metric connection satisfying P̃.S̃ = 0, where P̃ denote the projective curvature tensor with respect to quarter-symmetric metric connection.