Geodesic
Geodesics in generalized Finsler spaces: singularities in dimension two
Journal of Singularities, Tome 14 (2016), pp. 172-193

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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.
DOI : 10.5427/jsing.2016.14j
Classification : 53B40(), 53C22, 34C05 
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     author = {A. O. Remizov},
     title = {Geodesics in generalized {Finsler} spaces: singularities in dimension two},
     journal = {Journal of Singularities},
     pages = {172--193},
     publisher = {mathdoc},
     volume = {14},
     year = {2016},
     doi = {10.5427/jsing.2016.14j},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2016.14j/}
}
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A. O. Remizov. Geodesics in generalized Finsler spaces: singularities in dimension two. Journal of Singularities, Tome 14 (2016), pp. 172-193. doi: 10.5427/jsing.2016.14j

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