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

We show that some class of spacelike maximal surfaces and timelike minimal surfaces match smoothly across the singular curve of the surfaces. Singular Bjorling representation formulae for generalized spacelike maximal surfaces and for generalized timelike minimal surfaces play important roles in the...

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Veröffentlicht in:Journal of the Korean Mathematical Society 2011, 48(5), , pp.1083-1100
Hauptverfasser: Kim, Young-Wook, Koh, Sung-Eun, Shin, Hea-Yong, Yang, Seong-Deog
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Sprache:eng
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Zusammenfassung:We show that some class of spacelike maximal surfaces and timelike minimal surfaces match smoothly across the singular curve of the surfaces. Singular Bjorling representation formulae for generalized spacelike maximal surfaces and for generalized timelike minimal surfaces play important roles in the explanation of this phenomenon. KCI Citation Count: 20
ISSN:0304-9914
2234-3008
DOI:10.4134/JKMS.2011.48.5.1083