https://neckpinch.com/authors/j-f-siva-filho/New arXiv papers by J. F. Siva Filho, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2110.14103/arxiv:2110.14103Wed, 27 Oct 2021 00:00:00 GMTJ. F. Siva Filho, R. Sharma — We show that a complete gradient Ricci soliton (Mⁿ, g) with constant scalar curvature and a non-parallel closed conformal vector field is isometric to either the Euclidean space, or an Euclidean sphere, or negatively Einstein warped product of the real line with a complete non-positively Einstein manifold. Moreover, we show that a Kähler gradient Ricci soliton of real dimension ≥ 4, with a non-parallel closed conformal real vector field is Ricci-flat (Calabi-Yau) and is flat in dimension 4. Finally, we show that a Ricci soliton whose associated 1-form is harmonic, has constant scalar curvature.Ricci solitonsEinstein metricsRicci-flat & Calabi–Yau4-manifoldsKähler geometryScalar curvatureRotational symmetry & warped products