11 citations · 23 across the 7 of their papers we have counts for
4 papers · 1 filter
The ladder of Finsler-type objects and their variational problems on spacetimes
Miguel Sánchez, Fidel F. Villaseñor
The space of anisotropic -contravariant -covariant -homogeneous tensors on a manifold admits a functorial structure where vertical derivatives and contrac…
Schur theorem for the Ricci curvature of any weakly Landsberg Finsler metric
Fidel F. Villaseñor
The Ricci version of the Schur theorem is shown to hold for a wide class of Finsler metrics. What is more, let be any (positive definite) Finsler metric such that $\text{Ric} =…
The Einstein-Hilbert-Palatini formalism in Pseudo-Finsler Geometry
Miguel Ángel Javaloyes, Miguel Sánchez, Fidel F. Villaseñor
A systematic development of the so-called Palatini formalism is carried out for pseudo-Finsler metrics of any signature. Substituting in the classical Einstein-Hilbert-Palatini…
Anisotropic connections and parallel transport in Finsler spacetimes
Miguel Ángel Javaloyes, Miguel Sánchez, Fidel F. Villaseñor
The general notion of anisotropic connections is revisited, including its precise relations with the standard setting of pseudo-Finsler metrics, i.e., the canonic nonlinea…