ZERMELO DEFORMATION OF FINSLER METRICS BY KILLING VECTOR FIELDS
Résumé
We show how geodesics, Jacobi vector fields, and flag curvature of a Finsler metric behave under Zermelo deformation with respect to a Killing vector field. We also show that Zermelo deformation with respect to a Killing vector field of a locally symmetric Finsler metric is also locally symmetric.
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2018zermelodeformationoffinslermetricsbykillingvectorfields.pdf (299.36 Ko)
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