C. S. Bagewadi

On -Recurrent Para-Sasakian Manifold AdmittingQuarter-Symmetric Metric Connection

We obtained the relation between the Riemannian connection and the quarter-symmetric metric connection on a para-Sasakian manifold. Further, we study 𝜙-recurrent and concircular 𝜙-recurrent para-Sasakian manifolds with respect to quarter-symmetric metric connection.

A Study on Ricci Solitons in Kenmotsu Manifolds

We study and obtain results on Ricci solitons in Kenmotsu manifolds satisfying , , , and , where and are C-Bochner and pseudo-projective curvature tensor.

Ricci Solitons in -Sasakian Manifolds

We study Ricci solitons in 𝛼-Sasakian manifolds. It is shown that a symmetric parallel second order-covariant tensor in a 𝛼-Sasakian manifold is a constant multiple of the metric tensor. Using this, it is shown that if ℒ𝑉𝑔

Some Results on Lorentzian Para-Sasakian Manifolds

The object of the present paper is to study Lorentzian para-Sasakian (briefly LP-Sasakian) manifolds satisfying certain conditions on the 𝑊2-curvature tensor.

Certain Results on Ricci Solitons in Trans-Sasakian Manifolds

We study and obtain results on Ricci solitons in trans-Sasakian manifolds satisfying , , , and , where , , and are quasiconformal, projective, and conharmonic curvature tensors.

On Lorentzian Para-Sasakian Manifolds Satisfying W2- Curvature Tensor

The object of the present paper is to study some properties of W2curvature tensor in an Lorentzian para-Sasakian manifolds.

Certain Results on Ricci Solitons in -Sasakian Manifolds

We study Ricci solitons in -Sasakian manifolds and show that it is a shrinking or expanding soliton and the manifold is Einstein with Killing vector field. Further, we prove that if is conformal Killilng vector field, then the Ricci soliton in 3-dimensional -Sasakian manifolds is shrinking or expanding but cannot be steady.

A Study on Conservative C-Bochner Curvature Tensor in K-Contact and Kenmotsu Manifolds Admitting Semisymmetric Metric Connection

The paper deals with the study on conservative C-Bochner curvature tensor in K-contact and Kenmotsu manifolds admitting semisymmetric metric connection, and it is shown that these manifolds are η-Einstein with respect to Levi-Civita connection, and the results are illustrated with examples.

On Concircular -Recurrent -Contact Manifold Admitting Semisymmetric Metric Connection

In the present paper, we have studied 𝜙-recurrent and concircular 𝜙-recurrent 𝐾-contact manifold with respect to semisymmetric metric connection and obtained some interesting results.