Geodesic
Pseudoumbilical 2-Type Surfaces in Spheres
Canadian mathematical bulletin, Tome 33 (1990) no. 1, pp. 65-68

Voir la notice de l'article provenant de la source Cambridge University Press

It is proved that a pseudoumbilical 2-type surface in a sphere has constant mean curvature. Moreover, the dimension of the sphere is greater than four.
DOI : 10.4153/CMB-1990-011-4
Mots-clés : 53C40 
Garay, Oscar J. Pseudoumbilical 2-Type Surfaces in Spheres. Canadian mathematical bulletin, Tome 33 (1990) no. 1, pp. 65-68. doi: 10.4153/CMB-1990-011-4
@article{10_4153_CMB_1990_011_4,
     author = {Garay, Oscar J.},
     title = {Pseudoumbilical {2-Type} {Surfaces} in {Spheres}},
     journal = {Canadian mathematical bulletin},
     pages = {65--68},
     year = {1990},
     volume = {33},
     number = {1},
     doi = {10.4153/CMB-1990-011-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-011-4/}
}
TY  - JOUR
AU  - Garay, Oscar J.
TI  - Pseudoumbilical 2-Type Surfaces in Spheres
JO  - Canadian mathematical bulletin
PY  - 1990
SP  - 65
EP  - 68
VL  - 33
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-011-4/
DO  - 10.4153/CMB-1990-011-4
ID  - 10_4153_CMB_1990_011_4
ER  - 
%0 Journal Article
%A Garay, Oscar J.
%T Pseudoumbilical 2-Type Surfaces in Spheres
%J Canadian mathematical bulletin
%D 1990
%P 65-68
%V 33
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-011-4/
%R 10.4153/CMB-1990-011-4
%F 10_4153_CMB_1990_011_4

[1] 1. Barros, M., Chen, B-Y, Stationary 2-type surfaces in a hypersphere. J. Math. Soc. Japan 39 (1987), pp. 627–648. Google Scholar

[2] 2. Barros, M., Garay, O. J., 2-type surfaces in S3, Geometriae Dedicata 24 (1987), pp. 329–336. Google Scholar

[3] 3. Chen, B-Y, Total mean curvature and submanifolds of finite type, World Scientific (1984). Google Scholar

[4] 4. Chen, B-Y, 2-type submanifolds and their applications, Chinese J. Math. 14 (1986), pp. 1-14. Google Scholar

[5] 5. Chen, B-Y and Yano, K., Minimal submanifolds of higher dimensional sphere, Tensor N.S. 22 (1971), pp. 369–373. Google Scholar

[6] 6. Chen, B-Y, Pseudoumbilical submanifolds in a Riemannian manifold of constant curvature, Differential Geometry in Honnor of K. Yano (1972), pp. 61-71. Google Scholar

[7] 7. Garay, O. J., Spherical Chen surfaces which are of 2-type and mass-symmetric, J. of Geometry, 33 (1988), pp. 39–52. Google Scholar

[8] 8. Kotani, M. A., Decomposition theorem of hi-order immersions. Preprint. Google Scholar

[9] 9. Takahashi, T., Minimal immersions of Riemannian manifolds. J. Math. Soc. Japan, 18 (1966), pp. 380-385. Google Scholar

Cité par Sources :