Induced Invariant Finsler Metrics on Quotient Groups

Abstract

In this paper we show that every invariant Finsler metric on Lie group $G$, induces an invariant Finsler metric on quotient group $G/H$ in the natural way, where $H$ is a closed normal Lie subgroup of $G$.

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• The Relation Between Automorphism Group and Isometry Group of Randers Lie Groups
• Some Berwald Spaces of Non-positive flag Curvature