• 제목/요약/키워드: timelike minimal surface

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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
    • 대한수학회지
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    • 제48권5호
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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.

CONSTANT CURVATURES AND SURFACES OF REVOLUTION IN L3

  • Kang, Ju-Yeon;Kim, Seon-Bu
    • 호남수학학술지
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    • 제38권1호
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    • pp.151-167
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    • 2016
  • In Minkowskian 3-spacetime $L^3$ we find timelike or spacelike surface of revolution for the given Gauss curvature K = -1, 0, 1 and mean curvature H = 0. In fact, we set up the surface of revolution with the time axis for z-axis to be able to draw those surfaces on standard pictures in Minkowskian 3-spacetime $L^3$.