대한수학회지 (Journal of the Korean Mathematical Society)

  • 제48권5호
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  • Pages.1083-1100
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  • 2011
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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SPACELIKE MAXIMAL SURFACES, TIMELIKE MINIMAL SURFACES, AND BJÖRLING REPRESENTATION FORMULAE

  • 투고 : 2010.06.24
  • 발행 : 2011.09.01
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⟨ 이전 논문 다음 논문 ⟩

초록

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.

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참고문헌

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  3. Blackfolds, plane waves and minimal surfaces vol.2015, pp.7, 2015, https://doi.org/10.1007/JHEP07(2015)156
  4. Zero mean curvature surfaces in containing a light-like line vol.350, pp.21-22, 2012, https://doi.org/10.1016/j.crma.2012.10.024
  5. Mixed type surfaces with bounded mean curvature in 3-dimensional space-times vol.52, 2017, https://doi.org/10.1016/j.difgeo.2017.03.009
  6. Signature change in matrix model solutions vol.98, pp.8, 2018, https://doi.org/10.1103/PhysRevD.98.086015
  7. Analysis of Timelike Thomsen Surfaces pp.1559-002X, 2019, https://doi.org/10.1007/s12220-019-00166-7