A general framework for the description of classic wave propagation is introduced. This
relies on a cone structure C determined by an intrinsic space Σ of velocities of propagation …

The notion of wind Finslerian structure is developed; this is a generalization of Finsler
metrics where the indicatrices at the tangent spaces may not contain the zero vector. In the …

We translate Penrose's singularity theorem to a Finsler spacetime. To that end, causal
concepts in Lorentzian geometry are extended, including definitions and properties of focal …

We show how to compute tensor derivatives and curvature tensors using affine connections.
This allows for all computations to be obtained without using coordinate systems, in a way …

In this article, we investigate the cut locus of closed (not necessarily compact) submanifolds
in a forward complete Finsler manifold. We explore the deformation and characterization of …

We introduce the anisotropic tensor calculus, which is a way of handling tensors that
depends on the direction remaining always in the same class. This means that the derivative …

We consider the Chern connection of a (conic) pseudo-Finsler manifold $(M, L) $ as a linear
connection $\nabla^ V $ on any open subset $\Omega\subset M $ associated to any vector …

In this article, we investigate the focal locus of closed (not necessarily compact)
submanifolds in a forward complete Finsler manifold. The main goal is to show that the …

In this paper, we prove that lightlike geodesics of a pseudo-Finsler manifold and its focal
points are preserved up to reparametrization by anisotropic conformal changes, using the …

We introduce the concept of radially symmetric pseudo-Finsler spaces, which generalize the
notion of symmetric Finsler spaces, and prove that this concept is equivalent to the …