DSpace Community: Associate Professor, College Veng, Aizawl Associate Professor, College Veng, Aizawl http://pucir.inflibnet.ac.in:8080/jspui/handle/123456789/228 2026-04-30T14:38:22Z 2026-04-30T14:38:22Z Semi-Symmetric Metric Connection on Homothetic Kenmotsu Manifolds Kumar, Rajesh http://pucir.inflibnet.ac.in:8080/jspui/handle/123456789/779 2024-06-18T06:14:42Z 2020-01-01T00:00:00Z Title: Semi-Symmetric Metric Connection on Homothetic Kenmotsu Manifolds Authors: Kumar, Rajesh Abstract: The object of the paper is to study homothetic Kenmotsu manifold with respect to semi-symmetric metric connection. We discuss locally 𝜑-symmetric homothetic Kenmotsu manifold and 𝜉-projectively flat homothetic Kenmotsu manifold with respect to semi-symmetric metric connection. Finally, we construct an example of 3-dimensional homothetic Kenmotsu manifold to verify some results. 2020-01-01T00:00:00Z Ricci Solitons in β-Kenmotsu Manifolds Kumar, Rajesh http://pucir.inflibnet.ac.in:8080/jspui/handle/123456789/778 2024-06-18T06:08:00Z 2023-08-13T00:00:00Z Title: Ricci Solitons in β-Kenmotsu Manifolds Authors: Kumar, Rajesh Abstract: The object of the present paper is to study Ricci soliton in -Kenmotsu manifolds. Here it is proved that a symmetric parallel second order covariant tensor in a -Kenmotsu manifold is a constant multiple of the metric tensor. Using this result, it is shown that if (LV g + 2S) is O-parallel where V is a given vector eld, then the structure (g; V; ) yields a Ricci soliton. Further, by virtue of this result, we found the conditions of Ricci soliton in -Kenmotsu manifold to be shrinking, steady and expending respectively. Next, Ricci soliton for 3-dimensional -Kenmotsu manifold are discussed with an example. 2023-08-13T00:00:00Z ON A TYPE OF SEMI-GENERALIZED RECURRENT P-SASAKIAN MANIFOLDS Kumar, Rajesh http://pucir.inflibnet.ac.in:8080/jspui/handle/123456789/777 2024-06-18T06:03:57Z 2015-11-01T00:00:00Z Title: ON A TYPE OF SEMI-GENERALIZED RECURRENT P-SASAKIAN MANIFOLDS Authors: Kumar, Rajesh Abstract: In the present paperwe study some geometrical properties of semi-generalized recurrent P-Sasakian manifolds. 2015-11-01T00:00:00Z SEMI GENERALIZED ϕ-RECURRENT TRANS-SASAKIAN MANIFOLDS Kumar, Rajesh http://pucir.inflibnet.ac.in:8080/jspui/handle/123456789/776 2024-06-18T05:47:36Z 2020-05-01T00:00:00Z Title: SEMI GENERALIZED ϕ-RECURRENT TRANS-SASAKIAN MANIFOLDS Authors: Kumar, Rajesh Abstract: In this paper we studied semi generalized '-recurrent and concircular '- recurrent Trans-Sasakian manifolds. 2020-05-01T00:00:00Z