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Theory of extended point transformations of Finsler spaces. II. (English) Zbl 0701.53046
This is the second part of the theory of extended point transformations of Finsler spaces. The first part was concerned with affine motions [ibid. 45, 109-115 (1987; Zbl 0637.53031)]. In K. Yano’s well-known book [The theory of Lie derivatives and its applications (1957; Zbl 0077.158)] the fundamental theorem of projective motions is given based on the projective connection, but the theorem holds only for the case of dimension more than two. The present paper also shows the fundamental theorem in the two-dimensional case.
Reviewer: M.Matsumoto

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