Flow by Mean Curvature inside a Moving Ambient Space

Details Flow by Mean Curvature inside a Moving Ambient Space Flow by Mean Curvature inside a Moving Ambient Space

2009-11-27

arxiv.org/abs/0911.5130v1

Mathematics

Differential Geometry

Scientific paper

We show some computations related in particular 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 analogous of Huisken's monotonicity formula and its connection with the validity of some Li-Yau-Hamilton Harnack-type inequalities in a moving manifold.

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