MOVING FRAMES ON GENERALIZED FINSLER STRUCTURES

Title & Authors
MOVING FRAMES ON GENERALIZED FINSLER STRUCTURES

Abstract
We study the relation between an R-Cartan structure $\small{{\alpha}}$ an an (I, J, K)-generalized Finsler structure $\small{{\omega}}$ on a 3-manifold $\small{{\Sigma}}$ showing the difficulty in finding a general transformation that maps $\small{{\alpha}}$ to $\small{{\omega}}$. In some particular cases, the mapping can be uniquely determined by geometrical conditions. Moreover, we are led in this way to a negative answer to our conjecture in [12].
Keywords
generalized Finsler structures;foliations;exterior differential systems;surface of revolution;
Language
English
Cited by
1.
Adapted metrics and Webster curvature in Finslerian 2-dimensional geometry, Chinese Annals of Mathematics, Series B, 2016, 37, 3, 419
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