The object of the present paper is to study decomposable almost pseudo conharmonically symmetric manifolds.

On Decomposable Almost Pseudo Conharmonically Symmetric Manifolds

The aim of the present paper is to study   Ricci solitons in Kenmotsu manifolds under $D$-homothetic deformation.  We analyzed   behaviour of Ricci solitons  when potential vector field  is orthogonal to  Reeb vector field and   pointwise collinear with Reeb vector field.  Further we  prove Ricci solitons in $D$-homothetically transformed Kenmotsu manifolds are shrinking.

http://www.kjm-math.org/article_57725_899a6e6b876f185709cce8565826c41a.pdf

Ricci Solitons on Kenmotsu Manifolds under $D$-Homothetic Deformation

E-Bochner curvature tensor on generalized Sasakian space forms

In this paper, we study conharmonic curvature tensor in Kenmotsu manifolds with respect to semi-symmetric metric connection and also characterize conharmonically flat, conharmonically semisymmetric and ϕ-conharmonically flat Kenmotsu manifolds with respect to semi-symmetric metric connection.

Some classes of Kenmotsu manifolds with respect to semi-symmetric metric connection

In this paper we study Ricci solitons in generalized D-conformally deformed Kenmotsu manifold and we analyzed the nature of Ricci solitons when associated vector field is orthagonal to Reeb vector field.

Ricci Solitons in Kenmotsu Manifold under Generalized D-Conformal Deformation

The object of the present paper is to study a transformation called the D-homothetic deformation of normal almost contact metric manifolds. In particular, it is shown that, in a (2n+1)-dimensional normal almost contact metric manifold, the Ricci operator Q commutes with the structure tensor ϕ under certain conditions, and the operator Qϕ – ϕQ is invariant under a D-homothetic deformation. We also discuss the invariance of η-Einstein manifolds, ϕ-sectional curvature, and the local ϕ-Ricci symmetry under the D-homothetic deformation. Finally, we prove the existence of these manifolds by a concrete example.

/pdf/d-homothetic-deformation-of-normal-almost-contact-metric-1x8o8hp0d2.pdf

D -Homothetic Deformation of Normal Almost Contact Metric Manifolds

The object of the present paper is to study E-Bochner curvature tensor B e satisfying R:B e = 0, B e :R = 0, B e :B e = 0 and B e :S = 0 in an ndimensional N(k)-contact metric manifold.

/pdf/e-bochner-curvature-tensor-on-n-k-contact-metric-manifolds-3c8u9vd0mp.pdf

E-Bochner curvature tensor on N(k)-contact metric manifolds

The object of the present paper is to characterize 𝑁(𝑘)-contact metric manifolds satisfying certain curvature conditions on the conharmonic curvature tensor. In this paper we study conharmonically symmetric, 𝜉-conharmonically flat, and 𝜙-conharmonically flat 𝑁(𝑘)-contact metric manifolds.

/pdf/conharmonic-curvature-tensor-on-contact-metric-manifolds-3wu60ngbii.pdf

Conharmonic Curvature Tensor on ()-Contact Metric Manifolds

The object of the present paper is to study locally and globally ϕ-quasiconformally symmetric (κ, μ)-contact manifolds.

On ϕ-quasiconformally symmetric (κ,μ)-contact manifolds

The object of the present paper is to study three dimensional N(k)contact metric manifolds satisfying certain curvature conditions. 2000 Mathematics Subject Classification: 53C15, 53C25.

Sujit Ghosh

Papers

D -Homothetic Deformation of Normal Almost Contact Metric Manifolds

E-Bochner curvature tensor on N(k)-contact metric manifolds

Conharmonic Curvature Tensor on ()-Contact Metric Manifolds

On ϕ-quasiconformally symmetric (κ,μ)-contact manifolds

A classification of three dimensional $N(k)$ contact metric manifolds