Matsumoto, Makoto Theory of extended point transformations of Finsler spaces. I: Fundamental theorem of affine motions. (English) Zbl 0637.53031 Tensor, New Ser. 45, 109-115 (1987). 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 Cited in 1 ReviewCited in 1 Document MSC: 53B40 Local differential geometry of Finsler spaces and generalizations (areal metrics) Keywords:extended point transformations; Finsler spaces; affine motions Citations:Zbl 0077.158 PDFBibTeX XMLCite \textit{M. Matsumoto}, Tensor, New Ser. 45, 109--115 (1987; Zbl 0637.53031)