Flow by mean curvature inside a moving ambient space
Differential Geometry
2013-10-29 v3 High Energy Physics - Theory
Analysis of PDEs
Abstract
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.
Keywords
Cite
@article{arxiv.0911.5130,
title = {Flow by mean curvature inside a moving ambient space},
author = {Annibale Magni and Carlo Mantegazza and Efstratios Tsatis},
journal= {arXiv preprint arXiv:0911.5130},
year = {2013}
}
Comments
Revised version