复射影空间和四元数射影空间中广义赤道的一个新特征

A New Characterization of the Generalized Equators in the Complex and Quaternionic Projective Spaces

本文研究复射影空间ＣＰ￣ｎ和四元数射影空间ＱＰ￣ｎ中的紧致极小超曲面，对其上Ｊａｃｏｂｉ算子的最小特征值给出了一个最佳上界估计，由此给出了ＣＰ￣ｎ和ＱＰ￣ｎ中广义赤道的一个新的特征。

In this paper,compact minimal hypersurfaces in the complex and qua-ternionic projective spaces CP￣n and QP￣n are studied.The best upper bound estimate ofthe lowest eigenvalue of the Jacobi operator is obtained and a new characterizationof the generalized equators in Cp￣n and QP￣n is given.