https://neckpinch.com/authors/adina-rocha/New arXiv papers by Adina Rocha, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1701.00373/arxiv:1701.00373Mon, 02 Jan 2017 00:00:00 GMTHilário Alencar, Adina Rocha — In this paper, we prove that a noncompact complete hypersurface with finite weighted volume, weighted mean curvature vector bounded in norm, and isometrically immersed in a complete weighted manifold is proper. In addition, we obtain an estimate for f-stability index of a constant weighted mean curvature hypersurface with finite weighted volume and isometrically immersed in a shrinking gradient Ricci soliton that admits at least one parallel field globally defined. For such hypersurface, we still give a necessary condition for equality to be achieved in the estimate obtained.Ricci solitonsStability & uniquenessBoundaries & non-compact