Space-like surfaces in an anti-de Sitter space

• Autorzy: Qing-Ming Cheng
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1993
• Tom: 66
• Numer: 2
• Strony: 201-208

Daty

wydano

1993

otrzymano

1992-07-21

Twórcy

autor

Qing-Ming Cheng

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

Bibliografia

• [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.