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 Geodesics, connections and Jacobi fields for Berwald-Moor quartic metrics
2006jbp | Balan V., Brinzei N., Lebedev S.
For Finsler spaces $(M,F)$ with quartic metrics $F=\sqrt[4]{G_{ijkl}(x,y)
y^{i}y^{j}y^{k}y^{l}},$ we determine the equations of geodesics and
the corresponding arising geometrical objects-canonical spray,
nonlinear Cartan connection, Berwald linear connection -- in terms of
the non-homogenized flag Lagrange metric $h_{ij}=G_{ij00}.$
Further, are studied the geodesics and Jacobi fields of the tangent space
$TM$ for $hv$-metric models.
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