@article{AFST_1997_6_6_2_187_0,
author = {Sebasti\~ao Carneiro de Almeida and Fabiano Gustavo Braga Brito},
title = {Closed hypersurfaces of $S^4$ with two constant symmetric curvatures},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {187--202},
year = {1997},
publisher = {Universit\'e Paul Sabatier},
address = {Toulouse},
volume = {Ser. 6, 6},
number = {2},
doi = {10.5802/afst.860},
mrnumber = {1611812},
zbl = {0905.53041},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.860/}
}
TY - JOUR AU - Sebastião Carneiro de Almeida AU - Fabiano Gustavo Braga Brito TI - Closed hypersurfaces of $S^4$ with two constant symmetric curvatures JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 1997 SP - 187 EP - 202 VL - 6 IS - 2 PB - Université Paul Sabatier PP - Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.860/ DO - 10.5802/afst.860 LA - en ID - AFST_1997_6_6_2_187_0 ER -
%0 Journal Article %A Sebastião Carneiro de Almeida %A Fabiano Gustavo Braga Brito %T Closed hypersurfaces of $S^4$ with two constant symmetric curvatures %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 1997 %P 187-202 %V 6 %N 2 %I Université Paul Sabatier %C Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.860/ %R 10.5802/afst.860 %G en %F AFST_1997_6_6_2_187_0
Sebastião Carneiro de Almeida; Fabiano Gustavo Braga Brito. Closed hypersurfaces of $S^4$ with two constant symmetric curvatures. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 6 (1997) no. 2, pp. 187-202. doi: 10.5802/afst.860
[AD] ) and ) .- Hypersurfaces with constant mean curvature in spheres, Proc. Amer. Math. Soc. 120 (1994), pp. 1223-1229. | Zbl | MR
[AB1] ) and ).- Minimal hypersurfaces of S4 with constant Gauss-Kronecker curvature, Math. Z. 195 (1987), pp. 99-107. | Zbl | MR
[AB2] ) and ). - Closed 3-dimensional hypersurface with constant mean curvature and constant scalar curvature, Duke Math. J. 61 (1990), pp. 195-206. | Zbl | MR
[BD] ) and ) .- Ruled submanifolds of space forms with mean curvature of nonzero constant length, American Journal of Mathematics, 106 (1984), pp. 763-780. | Zbl | MR
[Ca] ) .- Familles de surfaces isoparamétriques dans les espaces à courbure constante, Annali di Mat. 17 (1938), pp. 177-191. | Zbl | JFM | MR
[C] ). - A closed hypersurface with constant scalar curvature and mean curvature in S4 is isoparametric, Communications in Analysis and Geometry, 1, n° 1 (1993), pp. 71-100. | Zbl | MR
[CDK] ), ) and ) .- Minimal submanifolds of the sphere with second fundamental form of constant length, Functional analysis and related fields, pp. 59-75 (ed. F. Browder), Berlin Heidelberg New York, Springer, 1970. | Zbl | MR
[H] ).- Minimal cones and the spherical Bernstein problem, I, Ann. of Math. 118 (1983), p. 61-73. | Zbl | MR
[L] ).- Minimal Varieties in Real and Complex Geometry, Séminaire de Mathématiques Supérieures, Département de Mathématiques - Université de Montréal (1974). | Zbl | MR
[PT1] ) and ).- Minimal hypersurfaces of spheres with constant scalar curvature, Seminar on minimal submanifolds (ed. E. Bombieri), Ann. Math. Stud. 103 (1983), Princeton Univ. Press, pp. 177-198. | Zbl | MR
[PT2] ) and ). - The scalar curvature of minimal hypersurfaces in spheres, Math. Ann. 266 (1983), pp. 105-113. | Zbl | MR
[R] ) .- Minimal hypersurfaces in S4 with vanishing Gauss-Kronecker curvature, Math. Z. 205 (1990), pp. 645-658. | Zbl | MR
[W] ). - Algebra, Vol. 1, Frederick Ungar Publishing Co., Inc. (1970). | MR
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