THE CLASSIFICATION OF COMPLETE HYPERSURFACES WITH NON-ZERO CONSTANT MEAN CURVATURE OF SPACE FORM OF DIMENSION 4

Author:

CHENG Qing-Ming

Publisher

Faculty of Mathematics, Kyushu University

Subject

General Earth and Planetary Sciences,General Environmental Science

Reference20 articles.

1. [1] E. Cartan, Familles de surfaces isoparametriques dans les espaces a courbure constante, Ann. di Mat. 17 (1938), 177-191.

2. [2] Q.M. Cheng, Complete minimally immersed hypersurfaces in a unit sphere, Mem. Fac. Kyushu Univ. Ser. A 43 (1989), 7-13.

3. [3] Q.M. Cheng, Complete minimal hypersurfaces in S4 (1) with constant scalar curvature, Osaka Math. J. 27 (1990), 885-892.

4. [4] Q.M. Cheng, Complete hypersurfaces in a 4-dimensional unit sphere with constant mean curvature, Yokohama Math. J. 39 (1992), 125-139.

5. [5] Q.M. Cheng & H. Nakagawa, Totally umbilical hypersurfaces, Hiroshima J. Math. 20 (1990), 1-10.

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