• Title/Summary/Keyword: Bj$\"{o}$rling representation formula

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

  • Kim, Young-Wook;Koh, Sung-Eun;Shin, Hea-Yong;Yang, Seong-Deog
    • Journal of the Korean Mathematical Society
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    • v.48 no.5
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    • pp.1083-1100
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    • 2011
  • We show that some class of spacelike maximal surfaces and timelike minimal surfaces match smoothly across the singular curve of the surfaces. Singular Bj$\"{o}$rling representation formulae for generalized spacelike maximal surfaces and for generalized timelike minimal surfaces play important roles in the explanation of this phenomenon.