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Gradient estimate for eigenforms of Hodge Laplacian

Published 22 Sep 2011 in math.DG | (1109.4968v3)

Abstract: In this paper, we derive a gradient estimate for the linear combinations of eigenforms of the Hodge Laplacian on a closed manifold. The estimate is given in terms of the dimension, volume, diameter and curvature bound of the manifold. As an application, we obtain directly a sharp estimate for the heat kernel of the Hodge Laplacian.

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