https://neckpinch.com/authors/chiung-jue-anna-sung/New arXiv papers by Chiung-Jue Anna Sung, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1701.02865/arxiv:1701.02865Wed, 11 Jan 2017 00:00:00 GMTOvidiu Munteanu, Chiung-Jue Anna Sung, Jiaping Wang — We develop heat kernel and Green's function estimates for manifolds with positive bottom spectrum. The results are then used to establish existence and sharp estimates of the solution to the Poisson equation on such manifolds with Ricci curvature bounded below. As an application, we show that the curvature of a steady gradient Ricci soliton must decay exponentially if it decays faster than linear and the potential function is bounded above.Ricci solitonsHeat kernelBoundaries & non-compactEigenvalues & spectrum