Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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COMPLETE MAXIMAL SPACE-LIKE HYPERSURFACES IN AN ANTI-DE SITTER SPACE

  • Choi, Soon-Meen (Institute of Mathematics, University of Tsukuba) ;
  • Ki, U-Hang (Department of Mathematics, Kyungpook National University) ;
  • Kim, He-Jin (Department of Mathematics, Kyungpook National University)
  • Published : 1994.02.01
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Abstract

It is well known that there exist no closed minimal surfaces in a 3-dimensional Euclidean space R$^{3}$. Myers [4] generalized the result to the case of the higher dimension and proved that there are no closed minimal hypersurfaces in an open hemisphere. The complete and non-compact version concerning Myers' theorem is recently considered by Cheng [1] and the following theorem is proved.

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