https://neckpinch.com/authors/shubham-yadav/New arXiv papers by Shubham Yadav, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2606.14336/arxiv:2606.14336Fri, 12 Jun 2026 00:00:00 GMTShubham Yadav, Hemangi Madhusudan Shah — This article explores to what extent the geometry of gradient Ricci solitons extends to non-gradient Ricci solitons. The primary tool is the energy function E of the soliton. We study consequences of various bounds on E. Under mild assumptions on the scalar curvature, we prove a weighted L¹-Liouville type theorem for both the usual Laplacian and the drifted Laplacian Δ_V associated to soliton vector field V, the former of which implies that Ricci solitons with bounded energy function have at most one nonparabolic end. Finally, we show that the measure e^(−E) d Vol_g is finite for complete shrinking Ricci solitons, partially generalizing a result of Aaron Naber. As a consequence, non-gradient shrinking Ricci solitons also have finite fundamental groups, as in the gradient case.Ricci solitonsScalar curvature