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Quadrics and Scherk towers
S Fujimori1, U Hertrich-Jeromin2, M Kokubu3
11Department of Mathematics, Okayama University, Okayama, 700-8530 Japan.
Monatshefte Fur Mathematik
|April 19, 2019
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.
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