Zero mean curvature surfaces in Lorentz-Minkowski 3-space and 2-dimensional fluid mechanics
Differential Geometry
2013-09-11 v1
Abstract
Space-like maximal surfaces and time-like minimal surfaces in Lorentz-Minkowski3-space are both characterized as zero mean curvature surfaces. We are interested in the case where the zero mean curvature surface changes type from space-like to time-like at a given non-degenerate null curve. We consider this phenomenon and its interesting connection to 2-dimensional fluid mechanics in this expository article.
Keywords
Cite
@article{arxiv.1309.2459,
title = {Zero mean curvature surfaces in Lorentz-Minkowski 3-space and 2-dimensional fluid mechanics},
author = {Shoichi Fujimori and Young Wook Kim and Sung-Eun Koh and Wayne Rossman and Heayong Shin and Masaaki Umehara and Kotaro Yamada and Seong-Deog Yang},
journal= {arXiv preprint arXiv:1309.2459},
year = {2013}
}
Comments
23 pages, 4 figures