Zermelo deformation of Finsler metrics by Killing vector fields
classification
🧮 math.DG
math.DS
keywords
vectordeformationfinslerkillingzermelofieldfieldslocally
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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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