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arXiv · 1309.2459

Zero mean curvature surfaces in Lorentz-Minkowski 3-space and 2-dimensional fluid mechanics

Shoichi Fujimori·Young Wook Kim·Sung-Eun Koh·Wayne Rossman·Heayong Shin·Masaaki Umehara·Kotaro Yamada·Seong-Deog Yang
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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.

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Shoichi Fujimori, Young Wook Kim, Sung-Eun Koh, Wayne Rossman, Heayong Shin, Masaaki Umehara, Kotaro Yamada, Seong-Deog Yang. 2013-09-10. Zero mean curvature surfaces in Lorentz-Minkowski 3-space and 2-dimensional fluid mechanics. https://arxiv.org/abs/1309.2459

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