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Flow by mean curvature inside a moving ambient space

We show some computations related to the motion by mean curvature flow of a submanifold inside an ambient Riemannian manifold evolving by Ricci or backward Ricci flow. Special emphasis is given to the possible generalization of Huisken's monotonicity formula and its connection with the validity of some Li--Yau--Hamilton differential Harnack--type inequalities in a moving Riemannian manifold.

preprint2013arXivOpen access
Annibale MagniCarlo MantegazzaEfstratios Tsatis
math.APmath.DGhep-th
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Open access3 authors3 topics
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Annibale MagniCarlo MantegazzaEfstratios Tsatis

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