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OALib Journal期刊
ISSN: 2333-9721
费用：99美元
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正定矩阵流形上的Jacobi场
Keywords: 正定矩阵,黎曼联络,黎曼曲率张量,Jacobi场
Abstract:
讨论了正定矩阵流形D(n)的几何结构.新定义其上的黎曼度量,给出了流形D(n)上的黎曼联络和黎曼曲率张量.从微分几何的角度,研究流形D(n)上的Jacobi场,进而考虑测地线的收敛性,并举例说明结果.
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