Totally complex submanifolds of the Cayley projective plane
Glasgow mathematical journal, Tome 40 (1998) no. 2, pp. 161-166

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

Let h be the second fundamental form of a compact submanifold M of the Cayley projective plane CaP2. We determine all compact totally complex submanifolds of complex dimension n in CaP2 satisfying |h|2 ≤ n.
Ximin, Liu. Totally complex submanifolds of the Cayley projective plane. Glasgow mathematical journal, Tome 40 (1998) no. 2, pp. 161-166. doi: 10.1017/S001708950003247X
@article{10_1017_S001708950003247X,
     author = {Ximin, Liu},
     title = {Totally complex submanifolds of the {Cayley} projective plane},
     journal = {Glasgow mathematical journal},
     pages = {161--166},
     year = {1998},
     volume = {40},
     number = {2},
     doi = {10.1017/S001708950003247X},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708950003247X/}
}
TY  - JOUR
AU  - Ximin, Liu
TI  - Totally complex submanifolds of the Cayley projective plane
JO  - Glasgow mathematical journal
PY  - 1998
SP  - 161
EP  - 166
VL  - 40
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S001708950003247X/
DO  - 10.1017/S001708950003247X
ID  - 10_1017_S001708950003247X
ER  - 
%0 Journal Article
%A Ximin, Liu
%T Totally complex submanifolds of the Cayley projective plane
%J Glasgow mathematical journal
%D 1998
%P 161-166
%V 40
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S001708950003247X/
%R 10.1017/S001708950003247X
%F 10_1017_S001708950003247X

[1] 1.Besse, A. L., Manifolds all of whose geodesies are closed (Springer-Verlag, Berlin, 1978). Google Scholar | DOI

[2] 2.Brown, R. and Gray, A., Riemannian manifolds with holonomy group Spin (9), in Diff. Geom. in honor of K. Yano, 42–59 (Tokyo, 1972). Google Scholar

[3] 3.Coulton, P. and Gauchman, H., Submanifolds of quaternion projective space with bounded second fundamental form, Kodai Math. J. 12 (1989), 296–307. Google Scholar | DOI

[4] 4.Coulton, P. and Glazebrook, J., Submanifolds of Cayley projective plane with bounded second fundamental form, Geom. Dedi. 33 (1990), 265–272. Google Scholar

[5] 5.Ros, A., Positively curved Kaehler submanifolds, Proc. Amer. Math. Soc. 93 (1985), 329–331. Google Scholar | DOI

[6] 6.Ros, A., A characterization of seven compact Kaehler submanifolds by holomorphic pinching, Ann. of Math. 121 (1985), 377–382. Google Scholar | DOI

[7] 7.Tsukada, K., Parallel submanifolds in a quaternion projective space, Osaka J. Math. 22 (1985), 187–241. Google Scholar

Cité par Sources :