https://neckpinch.com/authors/venkatesha/New arXiv papers by Venkatesha, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1901.06873/arxiv:1901.06873Mon, 21 Jan 2019 00:00:00 GMTVishnuvardhana. S. V., Venkatesha, S. K. Hui — The purpose of the present paper is to study semi-generalized recurrent, semi-generalized Ricci recurrent and conformal Ricci soliton on (LCS)n-manifold.Ricci solitonsAlmost & η-Ricci solitons https://neckpinch.com/papers/1808.06090/arxiv:1808.06090Sat, 18 Aug 2018 00:00:00 GMTDevaraja Mallesha Naik, Venkatesha, D. G. Prakasha — In this paper, a systematic study of Kenmotsu pseudo-metric manifolds are introduced. After studying the properties of this manifolds, we provide necessary and sufficient condition for Kenmotsu pseudo-metric manifold to have constant φ-sectional curvature, and prove the structure theorem for ξ-conformally flat and φ-conformally flat Kenmotsu pseudo-metric manifolds. Next, we consider Ricci solitons on this manifolds. In particular, we prove that an η-Einstein Kenmotsu pseudo-metric manifold of dimension higher than 3 admitting a Ricci soliton is Einstein, and a Kenmotsu pseudo-metric 3-manifold admitting a Ricci soliton is of constant curvature −ε.Ricci solitons3-manifoldsSasakian & contact geometry https://neckpinch.com/papers/1807.10541/arxiv:1807.10541Fri, 27 Jul 2018 00:00:00 GMTVenkatesha., Aruna Kumara H — The purpose of this paper is to study *-Ricci tensor on Sasakian manifold. Here, φ-confomally flat and confomally flat *-η-Einstein Sasakian manifold are studied. Next, we consider *-Ricci symmetric conditon on Sasakian manifold. Finally, we study a special type of metric called *-Ricci soliton on Sasakian manifold.Ricci solitonsAlmost & η-Ricci solitonsSasakian & contact geometry https://neckpinch.com/papers/1806.00599/arxiv:1806.00599Sat, 02 Jun 2018 00:00:00 GMTVenkatesha, Aruna Kumara H — In this paper geometrical aspects of perfect fluid spacetime with torse-forming vector field ξare discribed and Ricci soliton in perfect fluid spacetime with torse-forming vector field ξare determined. Conditions for the Ricci soliton to be expanding, steady or shrinking are also given.Ricci solitons