In this paper, we study the Landsberg curvature of a Finsler metric via
conformal navigation problem. We show that the Landsberg curvature of
is proportional to its
Cartan torsion where
is the Finsler metric produced from a Landsberg metric and its closed vector field in terms
of the conformal navigation problem generalizing results previously known in the cases
when
is a Randers metric or the Funk metric on a strongly convex domain. We also prove
that the Killing navigation problem has the Landsberg curvature preserving property
for a closed vector field.
Keywords
Finsler metric, Landsberg curvature, conformal navigation
problem