This article is cited in 2 papers

Lacunary Finsler spaces

A. I. Egorov


Abstract: In this paper we consider motions in Finsler spaces. We prove the following theorem.
Theorem. {\it The maximal order of groups of motions $G_r$ in Finsler spaces $F_{n,\dot x}$ with nonzero tensor $F_{\cdot \,i\,\cdot\,j\,\cdot\,k}$ is exactly equal to $\frac{n(n-1)}2+2$.}
Bibliography: 4 titles.

UDC: 513.73

MSC: 53C60

Received: 15.10.1980

 English version: Mathematics of the USSR-Sbornik, 1983, 44:3, 279–282

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