https://neckpinch.com/authors/aruna-kumara-h/New arXiv papers by Aruna Kumara H, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1901.05222/arxiv:1901.05222Wed, 16 Jan 2019 00:00:00 GMTVenkatesha Venkatesh, Devaraja Mallesha Naik, H Aruna Kumara — In this paper, we consider *-Ricci soliton in the frame-work of Kenmotsu manifolds. First, we prove that if the metric of a Kenmotsu manifold M is a *-Ricci soliton, then soliton constant λ is zero. For 3-dimensional case, if M admits a *-Ricci soliton, then we show that M is of constant sectional curvature -1. Next, we show that if M admits a *-Ricci soliton whose potential vector field is collinear with the characteristic vector field ξ, then M is Einstein and soliton vector field is equal to ξ. Finally, we prove that if g is a gradient almost *-Ricci soliton, then either M is Einstein or the potential vector field is collinear with the characteristic vector field on an open set of M. We verify our result by constructing examples for both *-Ricci soliton and gradient almost *-Ricci soliton.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