复射影空间中具有常数量曲率的完备全实子流形

ON COMPLETE TOTALLY REAL SUBMANIFOLDS WITH CONSTANT SCALAR CARVATURE IN THE COMPLEX PROJECTIVE SPACE

本文研究了复射影空间中具有常数量曲率的完备全实子流形的问题.利用丘成桐的广义极大值原理和自伴随算子,获得了这类子流形的某些内蕴刚性定理.

In this paper, the authors study the complete totally real submanifolds with constant scalar curvture in the complex projective space. By making use of the generalized maximal principle and self-adjoint differential operator of Yau, we obtain some intrinsic rigidity theorems.