摘要
本文给出了S^(2n+)1上具有常数全纯截面曲率的超曲面的分类。
In this paper, we classify the hypersurfaces in S2n+1 with constant holomorphic sectiouoal curvature and obtain the following result.
Theorem A, let M be a complete and connected hypersurface in S2n+1 with coustant
holomorphic sectional curvature Hn≥3, then M is one of the following spaces; ( 1 ) the great sphere S2n ( 1 );
( 2 ) the small sphere S2n (1/H^(1/H))
( 3 ) the product manifoidS^ (1 - ) xS2''1 () ,
( 4 ) the ruled hypersurface;
( 5 ) the hypersurface on which there is a foliation of codimesion two such that each leaf of the foliation is contained in some totally geodesic sufamanifold S20'1 as a hypersurface. .
出处
《赣南师范学院学报》
1992年第6期19-30,共12页
Journal of Gannan Teachers' College(Social Science(2))
关键词
奇维
球面
全纯平面
截面曲率
超曲面
odd dimetional sphere. ho1omorphic sectional curvature, hypersurface, holomorphic plane
