Hypersurfaces with constant $\boldsymbol{k}$-th mean curvature and two distinct principal curvatures in spheres

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참고문헌 (13)

1. H. Alencar, "Hypersurfaces with constant mean curvature in spheres", Proc. Amer. Math. Soc, 120(4), pp.1223~1229 (1994)
2. J. N. Barbosa, "Hypersurfaces of Sn+1 with two distinct principal curvatures", Glasg. Math. J, 47(1), pp.149~153 (2005)
3. E. Cartan, "Familles de surfaces isoparametriques dans les espaces a courvure constante", Ann. Mat. Pura Appl, 17(1), pp.177~191 (1938)
4. Q. M. Cheng, "Hypersurfaces in a unit sphere Sn+1(1) with constant scalar curvature", J. London Math. Soc. (2), 64(3), pp.755~768 (2001)
5. Q. M. Cheng, "A characterization of the Clifford torus", Proc. Amer. Math. Soc, 127(3), pp.819~828 (1999)
6. S. Y. Cheng, "Hypersurfaces with constant scalar curvature", Math. Ann, 225(3), pp.195~204 (1977)
7. S. S. Chern, "Minimal submanifolds of a sphere with second fundamental form of constant length, In Functional Analysis and Related Fields", pp.59~75 (1970), Springer
8. Jr. H. B. Lawson, "Local rigidity theorems for minimal hypersurfaces", Ann. of Math. (2), 89, pp.167~179 (1969)
9. H. Li, "Global rigidity theorems of hypersurfaces", Ark. Mat, 35(2), pp.327~351 (1997)
10. T. Otsuki, "Minimal hypersurfaces in a Riemannian manifold of constant curvature", Amer. J. Math, 92, pp.145~173 (1970)
11. G. Wei, "Complete hypersurfaces with constant mean curvature in a unit sphere", Monatsh. Math, 149(3), pp.251~252 (2006)
12. G. Wei, "Rigidity theorems of hypersurfaces with constant scalar curvature in a unit sphere", Acta Math. Sin. (Engl. Ser.), 23(6), pp.1075~1082 (2007)
13. G. Wei, "Complete hypersurfaces with Hk = 0 in a unit sphere", Differential Geom. Appl, 25(5), pp.500~505 (2007)

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