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math.DG2015
A characterization of the rate of change of -entropy via an integral form curvature-dimension condition
Dejun Luo
Let be a compact Riemannian manifold without boundary and a smooth function. Denote by and the semigroup and symmetric measur…
math.DG2010★ 6 cited
Asymptotic estimates on the time derivative of entropy on a Riemannian manifold
Adrian P. C. Lim, Dejun Luo
We consider the entropy of the solution to the heat equation on a Riemannian manifold. When the manifold is compact, we provide two estimates on the rate of change of the entropy i…