XXXVII Workshop on Geometric Methods in Physics | 1-7.07.2018 |

VII School on Geometry and Physics | 25-29.06.2018 |

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## Gabriel Larotonda## Short geodesics for Ad invariant metrics in locally exponential Lie groupsLet 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 |

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