Vol. 207, No. 1, 2002

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The group of isometries of a Finsler space

Shaoqiang Deng and Zixin Hou

Vol. 207 (2002), No. 1, 149–155
Abstract

We prove that the group of isometries of a Finsler space is a Lie transformation group on the original manifold. This generalizes the famous result of Myers and Steenrod on a Riemannian manifold and makes it possible to use Lie theory on the study of Finsler spaces.

Milestones
Received: 15 March 2001
Published: 1 November 2002
Authors
Shaoqiang Deng
Department of Mathematics
Nankai University
Tianjin, P. R. China
Zixin Hou
Department of Mathematics
Nankai University
Tianjin, P. R. China