An Upper Bound for Hessian Matrices of Positive Solutions of Heat Equations

Published 12 Dec 2012 in math.AP and math.DG | (1212.2723v1)

Abstract: We prove global and local upper bounds for the Hessian of log positive solutions of the heat equation on a Riemannian manifold. The metric is either fixed or evolves under the Ricci flow. These upper bounds supplement the well-known global lower bound.

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