島根大学理学部紀要

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島根大学理学部紀要 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
吉川 通彦
ファイル
内容記述(抄録等)
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