@article{JMAG_2008_4_2_a5,
author = {Shu Shichang},
title = {Complete hypersurfaces in a real space form},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {294--304},
year = {2008},
volume = {4},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JMAG_2008_4_2_a5/}
}
Shu Shichang. Complete hypersurfaces in a real space form. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (2008) no. 2, pp. 294-304. http://geodesic.mathdoc.fr/item/JMAG_2008_4_2_a5/
[1] H. Alencar, M. P. do Carmo, “Hypersurfaces with Constant Mean Curvature in Sphere”, Proc. Amer. Math. Soc., 120 (1994), 1223–1229 | DOI | MR | Zbl
[2] Q. M. Cheng, “Complete Hypersurfaces in Euclidean Space $R^{n+1}$ with Constant Scalar Curvature”, Indiana Univ. Math. J., 51 (2002), 53–68 | DOI | MR | Zbl
[3] Q. M. Cheng, “Hypersurfaces in a Unit Shere $S^{n+1}$(1) with Constant Scalar Curvature”, J. London Math. Soc., 64 (2001), 755–768 | DOI | MR | Zbl
[4] Q. M. Cheng, “Complete Space-Like Hypersurfaces of a de Sitter Space with $r=kH$”, Mem. Fac. Sci. Kyushu Univ., 44 (1990), 67–77 | DOI | MR | Zbl
[5] S. Y. Cheng, S. T. Yau, “Hypersurfaces with Constant Scalar Curvature”, Math. Ann., 225 (1977), 195–204 | DOI | MR | Zbl
[6] S. Y. Cheng, S. T. Yau, “Differential Equations on Riemannian Manifolds and their Geometric Applications”, Comm. Pure Appl. Math., 28 (1975), 333–354 | DOI | MR | Zbl
[7] B. Y. Chen, Totally Mean Curvature and Submanifolds of Finite Type, World Sci., Singapore, 1984 | MR
[8] B. Y. Chen, M. Okumura, “Scalar Curvature, Inequality and Submanifold”, Proc. Amer. Math. Soc., 38 (1973), 605–608 | DOI | MR | Zbl
[9] H. B. Lawson(jr.), “Local Rigidity Theorems for Minimal Hypersurfaces”, Ann. Math., 89(2) (1969), 187–197 | DOI | MR | Zbl
[10] M. Okumura, “Hypersurfaces and a Pinching Problem on the Second Fundamental Tensor”, Amer. J. Math., 96 (1974), 207–213 | DOI | MR | Zbl
[11] P. J. Ryan, “Hypersurfaces with Parallel Ricci Tensor”, Osaka J. Math., 8 (1971), 251–259 | MR | Zbl
[12] S. C. Shu, “Complete Hypersurfaces with Constant Mean Curvature in Locally Symmetric Manifold”, Adv. Math. Chinese, 33 (2004), 563–569 | MR