Ishihara, Ikuo:
Kähler submanifolds satisfying a certain condition on normal connection
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Serie 8 62 (1977), fasc. n.1, p. 30-35, (English)
pdf (380 Kb), djvu (237 Kb). | MR 0478075 | Zbl 0381.53013
Sunto
Si stabiliscono (nel § 4) quattro teoremi sulle sottovarietà di Kähler che soddisfano alla condizione (N) qui specificata nel § 2.
Referenze Bibliografiche
[1] B. Y. CHEN (1973) - Geometry of submanifolds, Marcel Dekker, New York.
[2]
B. Y. CHEN and
H. S. LUE (
1975) —
On normal connection of Kähler submanifolds, «
J. Math. Soc. Japan»,
27, 550-556. |
Zbl 0298.53018[3]
N. S. HAWLEY (
1953) -
Constant holomorphic curvature, «
Canad. J. Math.»,
5, 53-56. |
Zbl 0050.16203[4]
J. IGUSA (
1954) -
On the structure of a certain class of Kähler varieties, «
Amer. J. Math.»,
76, 669-678. |
Zbl 0058.37901[5]
S. KOBAYASHI (
1961) -
On compact Kähler manifolds with positive definite Ricci tensor, «
Ann. of Math.»,
74, 570-574. |
Zbl 0107.16002[6]
S. KOBAYASHI and
K. NOMIZU (
1969) -
Foundations of differential geometry,
II,
Interscience Publishers, New York,
1969. |
Zbl 0175.48504[7]
M. KON (
1975) —
Complex submanifolds with constant scalar curvature in a Kähler manifold, «
J. Math. Soc. Japan»,
27, 76-81. |
Zbl 0292.53041[8]
K. NOMIZU and
B. SMITH (
1969) -
Differential geometry of complex hypersurfaces, II, «
J. Math: Soc. Japan»,
20, 498-521. |
Zbl 0181.50103[9] K. OGIUE (1972) - Differential geometry of algebraic manifolds, Differential geometry, in honor of K. Yano, Kinokuniya, Tokyo, 355-372.
[10] B. SMITH (1967) - Differential geometry of complex hypersurfaces, «Ann. of Math.», 85, 246-266.
[11]
T. TAKAHASHI (
1967) -
Hypersurfaces with parallel Ricci tensor in a space of constant holomorphic sectional curvature, «
J. Math. Soc. Japan»,
19, 199-204. |
Zbl 0147.40603