This work investigates properties of curved manifolds with a pseudo-Riemann metric and a Finsler structure based on a distinguished antisymmetric two form. This is relevant to the study of Lorentz violation in the case of the Standard-Model Extension 'H' background.
Abstract: Bipartite Riemann-Finsler geometries with complementary Finsler structures are constructed. Calculable examples are presented based on a bilinear-form coefficient for explicit Lorentz violation.
Title: "Bipartite Riemann-Finsler Geometry and Lorentz Violation,"