Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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BJÖRLING PROBLEM FOR ZERO MEAN CURVATURE SURFACES IN THE THREE-DIMENSIONAL LIGHT CONE

  • Joseph Cho (Institute of Discrete Mathematics and Geometry TU Wien) ;
  • So Young Kim (Department of Mathematics Korea University) ;
  • Dami Lee (Department of Mathematics Indiana University) ;
  • Wonjoo Lee (Department of Mathematics Korea University) ;
  • Seong-Deog Yang (Department of Mathematics Korea University)
  • Received : 2023.03.09
  • Accepted : 2023.04.21
  • Published : 2024.03.31
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Abstract

We solve the Björling problem for zero mean curvature surfaces in the three-dimensional light cone. As an application, we construct and classify all rotational zero mean curvature surfaces.

Keywords

Acknowledgement

The last author gratefully acknowledges the support from NRF of Korea (NRF 2020R1F1A1A01074585).

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