Characterizations of Real Hypersurfaces in a Complex Space Form
Canadian mathematical bulletin, Tome 50 (2007) no. 1, pp. 97-104

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

We study a real hypersurface $M$ in a complex space form ${{M}_{n}}\left( c \right),c\ne 0$ , whose shape operator and structure tensor commute each other on the holomorphic distribution of M.
DOI : 10.4153/CMB-2007-009-5
Mots-clés : 53C40, 53C15
Kim, In-Bae; Kim, Ki Hyun; Sohn, Woon Ha. Characterizations of Real Hypersurfaces in a Complex Space Form. Canadian mathematical bulletin, Tome 50 (2007) no. 1, pp. 97-104. doi: 10.4153/CMB-2007-009-5
@article{10_4153_CMB_2007_009_5,
     author = {Kim, In-Bae and Kim, Ki Hyun and Sohn, Woon Ha},
     title = {Characterizations of {Real} {Hypersurfaces} in a {Complex} {Space} {Form}},
     journal = {Canadian mathematical bulletin},
     pages = {97--104},
     year = {2007},
     volume = {50},
     number = {1},
     doi = {10.4153/CMB-2007-009-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2007-009-5/}
}
TY  - JOUR
AU  - Kim, In-Bae
AU  - Kim, Ki Hyun
AU  - Sohn, Woon Ha
TI  - Characterizations of Real Hypersurfaces in a Complex Space Form
JO  - Canadian mathematical bulletin
PY  - 2007
SP  - 97
EP  - 104
VL  - 50
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2007-009-5/
DO  - 10.4153/CMB-2007-009-5
ID  - 10_4153_CMB_2007_009_5
ER  - 
%0 Journal Article
%A Kim, In-Bae
%A Kim, Ki Hyun
%A Sohn, Woon Ha
%T Characterizations of Real Hypersurfaces in a Complex Space Form
%J Canadian mathematical bulletin
%D 2007
%P 97-104
%V 50
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2007-009-5/
%R 10.4153/CMB-2007-009-5
%F 10_4153_CMB_2007_009_5

[1] [1] Ahn, S. S., Lee, S. B., and Suh, Y. J., On ruled real hypersurfaces in a complex space form. Tsukuba J. Math. 17(1993), no. 2, 311–322. Google Scholar

[2] [2] Baikoussis, C., A characterization of real hypersurfaces in complex space form in terms of the Ricci tensor. Canad. Math. Bull. 40(1997), no. 3, 257–265. Google Scholar

[3] [3] Berndt, J., Real hypersurfaces with constant principal curvatures in a complex hyperbolic space. J. Reine AngewMath. 359(1989), 132–141. Google Scholar

[4] [4] Ki, U-H. and Suh, Y. J., On a characterization of real hypersurfaces of type A in a complex space form. Canad. Math. Bull. 37(1994), no. 2, 238–244. Google Scholar

[5] [5] Kimura, M. and Maeda, S., On real hypersurfaces of a complex projective space. Math. Z. 202(1989), no. 3, 299–311. Google Scholar

[6] [6] Montiel, S. and Romero, A., On some real hypersurfaces of a complex hyperbolic space. Geom. Dedicata 20(1986), no. 2, 245–261. Google Scholar

[7] [7] Niebergall, R. and Ryan, P. J., Real hypersurfaces in complex space forms. In: Tight and Taut Submanifolds, Math. Sci. Res. Inst. Publ. 32, Cambridge Univiversity Press, Cambridge, 1997, pp. 233–305. Google Scholar

[8] [8] Okumura, M., On some real hypersurfaces of a complex projective space. Trans. Amer. Math. Soc. 212(1975), 355–364. Google Scholar

[9] [9] Takagi, R., On homogeneous real hypersurfaces of a complex projective space. Osaka J. Math. 10(1973), 495–506. Google Scholar

[10] [10] Takagi, R., Kim, I.-B. and Kim, B. H., The rigidity for real hypersurfaces in a complex projective space. Tohoku Math. J. 50(1998), no. 4, 531–536. Google Scholar

Cité par Sources :