Journal of Singularities
volume 14 (2016), 172-193
Received: 18 February 2016. Received in revised form: 31 August 2016.
We study singularities of geodesics flows in two-dimensional generalized Finsler spaces (pseudo-Finsler spaces). Geodesics are defined as extremals of a certain auxiliary functional whose non-isotropic extremals coincide with extremals of the action functional. This allows us to consider isotropic lines as (unparametrized) geodesics.
Finsler spaces and generalizations; geodesics; singular points; normal forms
2010 Mathematical Subject Classification:
53B40 (Primary), 53C22, 34C05
Instituto de Ciências Matemáticas e de Computação-USP
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