Memoirs of the Faculty of Science, Shimane University

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Memoirs of the Faculty of Science, Shimane University 21
1987-12-25 発行

解析的ループ上のアフィン等質構造

Affine Homogeneous Structures on Analytic Loops
Kikkawa, Michihiko
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Description
In this paper, we introduce the concept of affine homogeneous structures which is a generalization of the concept of homogeneous structures on Riemannian manifolds ([15]). By considenng affine homogeneous structures on an analytic loop with the canonical connection, we treat the problem of changing it for the other analytic loop which is homogeneous, without changing the system of geodesics