On Ecker's local integral quantity at infinity for ancient mean curvature flows
Differential Geometry
2020-06-19 v2
Abstract
We point out that Ecker's local integral quantity agrees with Huisken's global integral quantity at infinity for ancient mean curvature flows if Huisken's one is finite on each time-slice. In particular, this means that the finiteness of Ecker's integral quantity at infinity implies the finiteness of the entropy at infinity.
Cite
@article{arxiv.2005.09845,
title = {On Ecker's local integral quantity at infinity for ancient mean curvature flows},
author = {Keita Kunikawa},
journal= {arXiv preprint arXiv:2005.09845},
year = {2020}
}
Comments
11 pages. Corrected typos. Added some comments in Remark 1.4