Generalized Finsler structures on closed 3-manifolds

The geometry of a positively curved Zoll surface of revolution

“…The answer is positive, there is an one-to-one correspondence between K-Cartan structures (in this case K = G) and K = 1 Finsler structures up to diffeomorphism and conformal equivalence (see [9], section 7 for details).…”

Adapted metrics and Webster curvature in Finslerian 2-dimensional geometry

“…It follows that the Webster curvature is 1 2 and a natural Cartan structure (in terms of [8, p. 148]) is given by the horizontal 1-forms. Let us remark that an interplay between Cartan structures and the generalized Finsler structures is studied in [13][14].…”