摘要
本文给出复射影空间中三维紧致全实极小子流形的Ricci曲率和数量曲率的鞭些拼挤定理.特别是证得:若M^3是CP^3的紧致全实极小子流形且它的Ricci曲率大于1/6,则M^3是全测地的.
Let CP3+P be a complex (3+p)-dimensional complex projective space with the Fubini-Study metric of constant homomorphic sectional curvature 1, and M^3 be a real 3-dimensional totally compact and real minimal submanifold in CP^(3+p). In this paper, some pinching theorems for the Ricci curvature and the scalar curvature of M3 in CP3+P are given. It is shown that if the Ricci curvature of Ms in CP^3 is larger than 1/6, then M3 is totally geodesic in CP^3.
基金
国家自然科学基金资助的项目
