zbMATH — the first resource for mathematics

Theory of extended point transformations of Finsler spaces. I: Fundamental theorem of affine motions. (English) Zbl 0637.53031
In K. Yano’s well-known book [The theory of Lie derivatives and its applications (1957; Zbl 0077.158)] only few sections are concerned with Finsler spaces. Thus it will be not a useless work to present a coherent theory of extended point transformations of Finsler spaces which is written from the viewpoint of recent progress of Finsler geometry. The purpose of this series is to establish fundamental theorems on interesting transformations of Finsler spaces. This part I gives the theorem on affine motions.
Reviewer: M.Matsumoto

53B40 Local differential geometry of Finsler spaces and generalizations (areal metrics)