Matrix Li-Yau-Hamilton estimates for the heat equation on Kaehler manifolds
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🧮 math.DG
math.AP
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curvatureequationestimatesheatkaehlerli-yau-hamiltonmanifoldsmatrix
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We proved a matrix Li-Yau-Hamilton type gradient estimates for the positive solutin of the heat equation on complete Kaehler manifolds with nonnegative bisectional curvature. As a consequence we obtain a comparison theorem for the distance function under this curvature assumption.
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