https://neckpinch.com/authors/devaraja-mallesha-naik/New arXiv papers by Devaraja Mallesha Naik, 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/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