Quadrics and Scherk towers
Differential Geometry
2017-01-10 v1
Abstract
We investigate the relation between quadrics and their Christoffel duals on the one hand, and certain zero mean curvature surfaces and their Gauss maps on the other hand. To study the relation between timelike minimal surfaces and the Christoffel duals of 1-sheeted hyperboloids we introduce para-holomorphic elliptic functions. The curves of type change for real isothermic surfaces of mixed causal type turn out to be aligned with the real curvature line net.
Keywords
Cite
@article{arxiv.1701.02134,
title = {Quadrics and Scherk towers},
author = {Shoichi Fujimori and Udo Hertrich-Jeromin and Masatoshi Kokubu and Masaaki Umehara and Kotaro Yamada},
journal= {arXiv preprint arXiv:1701.02134},
year = {2017}
}
Comments
19 pages, 6 figures