Levi Adriano — Neckpinchhttps://neckpinch.com/authors/levi-adriano/New arXiv papers by Levi Adriano, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT Gradient Estimates on Warped Product Gradient Almost Ricci Solitonshttps://neckpinch.com/papers/1905.00068/arxiv:1905.00068Tue, 30 Apr 2019 00:00:00 GMTWillian Isao Tokura, Levi Adriano, Romildo Pina, Marcelo Barboza — In this paper, by slightly modifying Li-Yau's technique so that we can handle drifting Laplacians, we were able to find three different gradient estimates for the warping function, one for each sign of the Einstein constant of the fiber manifold. As an application, we exhibit a nonexistence theorem for gradient almost Ricci solitons possessing certain metric properties on the base of the warped product.Ricci solitonsAlmost & η-Ricci solitonsHarnack inequalitiesRotational symmetry & warped products