【摘要】 给出了复射影空间中紧致全实极小子流形的一个内蕴刚性定理,改进了第二基本形式长度平方的Pinching常数.更多还原

【Abstract】 Let M be a n-dimensional totally real compact minimal submanifold of the n-dimension-al complex projective space with constant holomorphic sectional curvature 4. Denote by||σ||2the square of the length of the second fundamental form of M. We prove that if ||σ||2<2/3(n+1), then M is totally geodesic; if||σ||2 =2/3(n+1), then n=2 and M=S1×S1 where S1is the unit circle in plane.更多还原