迷向子流形的两个性质

讨论黎曼流形中的迷向子流形,得到了关于迷向子流形的两个定理．     

关于复射影空间的实超曲面的注记

研究复射影空间的常平均曲率的实超曲面关于Ricci曲率、截面曲率的量子化现象.     

Traversing the singularity hypersurface by applying the input disturbances to 6-SPS parallel manipulator

The singular points of a 6-SPS Stewart platform are distributed on the multi-dimensional singularity hypersurface in the task-space, which divides the workspace of the manipulator into several singularity-free regions. Because of the motion un- certainty at singular points, while the manipulator traverses this kind of hypersurface from one singularity-free region to another, its motion cannot be predetermined. In this paper, a detailed approach for the manipulator to traverse the singularity hypersurface with its non-persistent configuration is presented. First, the singular point transfer disturbance and the pose disturbance, which make the perturbed singular point transfer horizontally and vertically, respectively, are constructed. Through applying these disturbances into the input parameters within the maximum loss control domain, the perturbed persistent configuration is transformed into its corresponding non-persistent one. Under the action of the disturbances, the manipulator can traverse the singularity hypersurface from one singularity-flee region to another with a desired configuration.     

奇维球面S~(2n+1)上全纯平面截面曲率为常数的超曲面

本文给出了S~(2n+)1上具有常数全纯截面曲率的超曲面的分类。