https://neckpinch.com/authors/kiran-meena/New arXiv papers by Kiran Meena, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2203.00683/arxiv:2203.00683Tue, 01 Mar 2022 00:00:00 GMTKiran Meena, Akhilesh Yadav — In this paper, we study conformal submersions from Ricci solitons to Riemannian manifolds with non-trivial examples. First, we study some properties of the O'Neill tensor A in the case of conformal submersion. We also find a necessary and sufficient condition for conformal submersion to be totally geodesic and calculate the Ricci tensor for the total manifold of such a map with different assumptions. Further, we consider a conformal submersion F:M → N from a Ricci soliton to a Riemannian manifold and obtain necessary conditions for the fibers of F and the base manifold N to be Ricci soliton, almost Ricci soliton and Einstein. Moreover, we find necessary conditions for a vector field and its horizontal lift to be conformal on N and (KerF_∗)^bot, respectively. Also, we calculate the scalar curvature of Ricci soliton M. Finally, we obtain a necessary and sufficient condition for F to be harmonic.Ricci solitonsAlmost & η-Ricci solitonsScalar curvature https://neckpinch.com/papers/2108.01449/arxiv:2108.01449Mon, 02 Aug 2021 00:00:00 GMTKiran Meena, Akhilesh Yadav — In this paper, first we define Clairaut Riemannian map between Riemannian manifolds by using a geodesic curve on the base space and find necessary and sufficient conditions for a Riemannian map to be Clairaut with a non-trivial example. We also obtain necessary and sufficient condition for a Clairaut Riemannian map to be harmonic. Thereafter, we study Clairaut Riemannian map from Riemannian manifold to Ricci soliton with a non-trivial example. We obtain scalar curvatures of rangeF_∗ and (rangeF_∗)^bot by using Ricci soliton. Further, we obtain necessary conditions for the leaves of rangeF_∗ to be almost Ricci soliton and Einstein. We also obtain necessary condition for the vector field dotβ to be conformal on rangeF_∗ and necessary and sufficient condition for the vector field dotβ to be Killing on (rangeF_∗)^bot, where β is a geodesic curve on the base space of Clairaut Riemannian map. Also, we obtain necessary condition for the mean curvature vector field of rangeF_∗ to be constant. Finally, we introduce Clairaut anti-invariant Riemannian map from Riemannian manifold to Kähler manifold, and obtain necessary and sufficient condition for an anti-invariant Riemannian map to be Clairaut with a non-trivial example. Further, we find necessary condition for rangeF_∗ to be minimal and totally geodesic. We also obtain necessary and sufficient condition for Clairaut anti-invariant Riemannian maps to be harmonic.Ricci solitonsAlmost & η-Ricci solitonsKähler geometryScalar curvature