24 citations · 212 across the 32 of their papers we have counts for
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math.DG2011★ 2 cited
k-Parameter geodesic variations
Ioan Bucataru, Matias F. Dahl
Suppose is a semispray on a manifold . We know that the complete lift of is a semispray on with the property that geodesics of correspond to Jacobi fiel…
math.DG2011★ 15 cited
Projective and Finsler metrizability: parameterization-rigidity of the geodesics
Ioan Bucataru, Zoltán Muzsnay
In this work we show that for the geodesic spray of a Finsler function the most natural projective deformation leads to a non-Finsler metri…
math.DG2011★ 18 cited
Projective Metrizability and Formal Integrability
Ioan Bucataru, Zoltán Muzsnay
The projective metrizability problem can be formulated as follows: under what conditions the geodesics of a given spray coincide with the geodesics of some Finsler space, as orient…