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SPACELIKE MAXIMAL SURFACES, TIMELIKE MINIMAL SURFACES, AND BJÖRLING REPRESENTATION FORMULAE

Title & Authors
SPACELIKE MAXIMAL SURFACES, TIMELIKE MINIMAL SURFACES, AND BJÖRLING REPRESENTATION FORMULAE
Kim, Young-Wook; Koh, Sung-Eun; Shin, Hea-Yong; Yang, Seong-Deog;

Abstract
We show that some class of spacelike maximal surfaces and timelike minimal surfaces match smoothly across the singular curve of the surfaces. Singular Bj$\small{\"{o}}$rling representation formulae for generalized spacelike maximal surfaces and for generalized timelike minimal surfaces play important roles in the explanation of this phenomenon.
Keywords
spacelike maximal surface;timelike minimal surface;Bj$\small{\"{o}}$rling representation formula;
Language
English
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3.
Zero mean curvature surfaces in containing a light-like line, Comptes Rendus Mathematique, 2012, 350, 21-22, 975
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