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• W2321346269 endingPage "809" @default.
• W2321346269 startingPage "793" @default.
• W2321346269 abstract "In the paper we consider a closed Riemannian manifold $M$ with a time-dependent Riemannian metric $g_{i j}(t)$ evolving by $partial_{t}g_{i j}=-2S_{i j}$ where $S_{i j}$ is a symmetric two-tensor on $(M,g(t))$. We prove some differential Harnack inequalities for positive solutions of backward heat equations with potentials when the metric satisfies the geometric flow. Some applications of these inequalities will be obtained. In particular, we show that the shrinking breathers of the Lorentzian mean curvature flow are the shrinking gradient solitons when the ambient Lorentzian manifold has nonnegative sectional curvature." @default.
• W2321346269 created "2016-06-24" @default.
• W2321346269 creator A5014439877 @default.
• W2321346269 creator A5049247389 @default.
• W2321346269 date "2015-03-01" @default.
• W2321346269 modified "2023-09-27" @default.
• W2321346269 title "Differential Harnack estimates for backward heat equations with potentials under geometric flows" @default.
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• W2321346269 doi "https://doi.org/10.3934/cpaa.2015.14.793" @default.
• W2321346269 hasPublicationYear "2015" @default.
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