Translation surfaces with constant mean curvature in 3-dimensional spaces

Huili Liu1
1Department of Mathematics, Northeastern University, 110006, Shenyang, P. R. China

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Tài liệu tham khảo

K. Akutagawa andS. Nishakawa,The Gauss map and spacelike surfaces with prescribed mean curvature in Minkowski 3-space, Tohoku Math. J.,42(1990), 67?82.

J.Inoguchi,Spacelike surfaces and harmonic maps of finite type, preprint, Tokyo Metropoitan University.

J.Inoguchi,Timelike surfaces of constant mean curvature in Minkowski 3-space, preprint, Tokyo Metropoitan University.

H. L. Liu,Minimal immersions of Pseudo-Riemannian manifolds, Tsukuba J. Math.,16(1992), 1?10.

H. L. Liu,Translation surfaces with dependent Gauss and mean curvature in 3-space, J. NEUT,14(1993), 88?93.

H. L. Liu andG. L. Liu,Rotation surfaces with constant mean curvature in 4 ? dimensional Pseudo-Euclidean space, Kyushu J. Math.,48(1994), 35?42.

M. A. Magid,Timelike surfaces in Lorentz 3-space with prescribed mean curvature and Gauss map, Hokkaido Math. J.,19(1985) 447?464.

T. K. Milnor,Harmonic maps and classical surfaces theory in Minkowski 3-space, Trans. AMS,280(1983), 161?185.

B. O'Niell,Semi-Riemannian Geometry, Academic Press, Orland, 1983.

A. Treibergs,Entire spacelike hypersurfaces of constant mean curvature in Minkowski space, Invent. Math.,66(1982), 39?56.

A. Treibergs,Gauss map of spacelike constant mean curvature hypersurfaces of Minkowski space, J. Diff. Geom.,32(1990), 775?817.