Totally real submanifolds with constant mean curvature in a quaternion projective space
CHENG Lijuan1, ZHU Yecheng1,2, WANG Jiahui1
(1.School of Mathematics & Physics, Anhui University of Technology, Ma’anshan 243032,Anhui, China;2.Chern Institute of Mathematics, Nankai University, Tianjin 300071, China)
Abstract:In this paper, totally real submanifolds with constant mean curvature in a quaternion projective space is studied by the method of moving frames and some pinching theorems are obtained. Then the results of totally real minimal submanifolds in a quaternion projective space are extended and improved.