For conic pseudo-Finsler surfaces, the paper defines C-anisotropic and phi T-conditions and shows the vertical phi T-condition is equivalent to the vanishing T-tensor.
Berwald, On Finsler and Cartan geometries
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Special anisotropic conformal changes of conic pseudo-Finsler surfaces
For conic pseudo-Finsler surfaces, the paper defines C-anisotropic and phi T-conditions and shows the vertical phi T-condition is equivalent to the vanishing T-tensor.