Gabriel Larotonda

Short geodesics for Ad invariant metrics in locally exponential Lie groups

Let K be a locally exponential (possibly infinite dimensional) Lie group, provided with a continuous tangent Finsler metric, which is invariant for the adjoint action of the group itself. We show that the one-parameter groups are minimizing for the Length functional of the Finsler metric. Relevant applications are given by examining groups of isometries of Banach spaces.

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University of Bialystok