Space-like surfaces in an anti-de Sitter space

Qing Cheng

Colloquium Mathematicae (1993)

  • Volume: 66, Issue: 2, page 201-208
  • ISSN: 0010-1354

How to cite

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Cheng, Qing. "Space-like surfaces in an anti-de Sitter space." Colloquium Mathematicae 66.2 (1993): 201-208. <http://eudml.org/doc/210242>.

@article{Cheng1993,
author = {Cheng, Qing},
journal = {Colloquium Mathematicae},
keywords = {complete maximal surface; space-like surface; anti-de Sitter space; second fundamental form; parallel mean curvature vector},
language = {eng},
number = {2},
pages = {201-208},
title = {Space-like surfaces in an anti-de Sitter space},
url = {http://eudml.org/doc/210242},
volume = {66},
year = {1993},
}

TY - JOUR
AU - Cheng, Qing
TI - Space-like surfaces in an anti-de Sitter space
JO - Colloquium Mathematicae
PY - 1993
VL - 66
IS - 2
SP - 201
EP - 208
LA - eng
KW - complete maximal surface; space-like surface; anti-de Sitter space; second fundamental form; parallel mean curvature vector
UR - http://eudml.org/doc/210242
ER -

References

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  1. [1] Q. M. Cheng, Maximum principle in the geometry of submanifolds, thesis, Kyushu University, 1991. 
  2. [2] Q. M. Cheng, Complete space-like submanifolds in de Sitter spaces with parallel mean curvature vector, Math. Z. 206 (1991), 333-339. Zbl0695.53042
  3. [3] Q. M. Cheng and H. Nakagawa, Totally umbilical hypersurfaces, Hiroshima J. Math. 20 (1990), 1-10. 
  4. [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. [5] T. Ishihara, Maximal space-like submanifolds of a pseudo-Riemannian space of constant curvature, Michigan Math. J. 35 (1988), 345-352. Zbl0682.53055
  6. [6] H. Omori, Isometric immersions of Riemannian manifolds, J. Math. Soc. Japan 19 (1967), 205-214. Zbl0154.21501
  7. [7] S. T. Yau, Harmonic functions on complete Riemannian manifolds, Comm. Pure Appl. Math. 28 (1975), 201-228. Zbl0291.31002

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