南开大学学报(自然科学版) ›› 2019 ›› Issue (3): 90-.

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The α-dual Differential Geometry of Symmetric Nonsingular Matrices

  

  • 出版日期:2019-06-20 发布日期:2019-07-04

  • Online:2019-06-20 Published:2019-07-04

摘要: The manifold S ( n ) is explored. The set of all symmetric nonsingular matrices on which a Riemannian metric is defined and dual α -connections are introduced. Furthermore, the α -dual geometric structure is obtained. Finally, an example is given to illustrate our results.

关键词:  statistical manifold, symmetric nonsingular matrix, α -dual connections