2009/11/30 by Annibale Magni, Carlo Mantegazza, Efstratios Tsatis
Mathematics · Physics and Astronomy · #math.DG #hep-th #math.AP
paper · pdf · doi:10.1007/s00028-013-0190-6
published as J. Evol. Equ. 13 (2013), 561-576 · Revised version
arxiv created 2013/02/07 · arxiv updated 2013/10/29
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.