Generalized conjugate connections and equiaffine structures on semi-Riemannian manifolds

被引：0
|
作者：
Min, Chol-Rim [1 ]
Ri, In-Ra [1 ]
Jong, Kang-Min [1 ]
机构：
[1] Kim II Sung Univ, Fac Math, Pyongyang, North Korea
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2021年 / 79卷
关键词：
Conjugate connection; Generalized conjugate connection; Equiaffine structure; Statistical manifold; Information geometry; Affine differential geometry;
D O I：
10.1016/j.difgeo.2021.101829
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The generalized conjugate connections on semi-Riemannian manifolds are studied in this paper. A fact that an affine connection is equiaffine iff it's conjugate connection is equiaffine on statistical manifolds was generalized to the case of generalized conjugate connections on semi-Riemannian manifolds in [3]. The facts that the conjugate symmetry and conjugate Ricci-symmetry of statistical manifolds are sufficient conditions for alpha-connections to be equiaffine for any alpha(is an element of R) are generalized to the case of generalized conjugate connections on semi-Riemannian manifolds in this paper. (c) 2021 Published by Elsevier B.V.
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页数：11
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