Local existence and uniqueness of Skew Mean Curvature Flow
Differential Geometry
2019-04-09 v1
Abstract
The Skew Mean Curvature Flow(SMCF) is a Schr\"odinger-type geometric flow canonically defined on a co-dimension two submanifold, which generalizes the famous vortex filament equation in fluid dynamics. In this paper, we prove the local existence and uniqueness of general dimensional SMCF in Euclidean spaces.
Keywords
Cite
@article{arxiv.1904.03822,
title = {Local existence and uniqueness of Skew Mean Curvature Flow},
author = {Chong Song},
journal= {arXiv preprint arXiv:1904.03822},
year = {2019}
}