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ArticleOriginal scientific text

Title

Space-like surfaces in an anti-de Sitter space

Authors 1

Affiliations

  1. Institute of Mathematics, Fudan University, Shanghai 200433i, P.R. China

Bibliography

  1. Q. M. Cheng, Maximum principle in the geometry of submanifolds, thesis, Kyushu University, 1991.
  2. Q. M. Cheng, Complete space-like submanifolds in de Sitter spaces with parallel mean curvature vector, Math. Z. 206 (1991), 333-339.
  3. Q. M. Cheng and H. Nakagawa, Totally umbilical hypersurfaces, Hiroshima J. Math. 20 (1990), 1-10.
  4. S. S. Chern, M. do Carmo and S. Kobayashi, Minimal submanifolds of a sphere with second fundamental form of constant length, in: Functional Analysis and Related Fields, Springer, Berlin, 1970, 59-75.
  5. T. Ishihara, Maximal space-like submanifolds of a pseudo-Riemannian space of constant curvature, Michigan Math. J. 35 (1988), 345-352.
  6. H. Omori, Isometric immersions of Riemannian manifolds, J. Math. Soc. Japan 19 (1967), 205-214.
  7. S. T. Yau, Harmonic functions on complete Riemannian manifolds, Comm. Pure Appl. Math. 28 (1975), 201-228.
Colloquium Mathematicum
1993/66/2
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Pages:
201-208
Main language of publication
English
Received
1992-07-21
Published
1993
Exact and natural sciences