Schwarzian derivative and Numata Finsler structures

Christian Duval (1, 2)

1 CPT - E2 Géométrie, Physique et Symétries
2 CPT - Centre de Physique Théorique - UMR 7332

The flag curvature of the Numata Finsler structures is shown to admit a non\-trivial prolongation to the one-dimensional case, revealing an unexpected link with the Schwarzian derivative of the diffeomorphisms associated with these Finsler structures.

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]; Géométrie différentielle [math.DG]

Christian Duval. Schwarzian derivative and Numata Finsler structures. Advances in Pure and Applied Mathematics, 2010, 1, pp.1. ⟨hal-00256294v2⟩