Flow by Mean Curvature inside a Moving Ambient Space

Carlo Mantegazza (Scuola Normale Superiore di Pisa)


Abstract: I will discuss some computations related to the
motion by mean curvature of a submanifold inside an ambient Riemannian
manifold evolving by Ricci or backward Ricci flow.
Special emphasis will be put on 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.