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In this paper, we prove the concavity of the Shannon entropy power for the heat equation associated with the Laplacian or the Witten Laplacian on complete Riemannian manifolds with suitable curvature-dimension condition and on compact super Ricci flows.
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S. Li, X.-D. Li, Hamilton differential Harnack inequality and W W -entropy for Witten Laplacian on Riemannian manifolds, J. Funct. Anal. 274 (2018) 3263-3290
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