摘要
研究了由所有对称非奇异n阶矩阵构成的流形S (n),在S (n)上定义了合理的黎曼度量并由此得到α-对偶联络,进一步得到S (n)的α-对偶几何结构,然后给出了具体例子.
The manifold S(n)is explored.The set of all symmetric nonsingular matrices on which a Riemannian metric is defined and dualα-connections are introduced.Furthermore,theα-dual geometric structure is obtained.Finally,an example is given to illustrate our results.
作者
吴利萍
张绍祥
Wu Liping;Zhang Shaoxiang(College of Science,Tianjin University of Technology,Tianjin300384,China;School of Mathematical Sciences,Nankai University,Tianjin300071,China)
出处
《南开大学学报（自然科学版）》
CAS
CSCD
北大核心
2019年第3期90-94,共5页
Acta Scientiarum Naturalium Universitatis Nankaiensis
关键词
统计流形
对称非奇异矩阵
α-对偶联络
statistical manifold
symmetric nonsingular matrix
α-dual connections
