Honam Mathematical Journal (호남수학학술지)

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SURFACES WITH CONSTANT GAUSSIAN AND MEAN CURVATURES N THE ANTI-DE SITTER SPACE ℍ31

  • Ugur Dursun (Department of Mathematics, Isik University)
  • Received : 2023.09.20
  • Accepted : 2024.01.23
  • Published : 2024.06.25
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Abstract

In this work, we study time-like and space-like surfaces invariant by a group of translation isometries of the half-space model ℋ31 of the anti-de Sitter space ℍ31 . We determine all such surfaces with constant mean curvature and constant Gaussian curvature. We also obtain umbilical surfaces of ℋ31.

Keywords

References

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