24 citations · 98 across the 13 of their papers we have counts for
13 papers
On the tensorial properties of the generalized Jacobi equation
Matias F. Dahl, Ricardo Gallego Torromé
The generalized Jacobi equation is a differential equation in local coordinates that describes the behavior of infinitesimally close geodesics with an arbitrary relative velocity.…
Characterisation and representation of non-dissipative electromagnetic medium with a double light cone
Matias F. Dahl
We study Maxwell's equations on a 4-manifold N with a medium that is non-dissipative and has a linear and pointwise response. In this setting, the medium can be represented by a su…
k-Parameter geodesic variations
Ioan Bucataru, Matias F. Dahl
Suppose is a semispray on a manifold . We know that the complete lift of is a semispray on with the property that geodesics of correspond to Jacobi fiel…
Non-dissipative electromagnetic medium with a double light cone
Matias F. Dahl
We study Maxwell's equations on a 4-manifold where the electromagnetic medium is modelled by an antisymmetric (2, 2)-tensor kappa with real coefficients. In this setting the Fresne…
A restatement of the normal form theorem for area metrics
Matias F. Dahl
An area metric is a (0,4)-tensor with certain symmetries on a 4-manifold that represent a non-dissipative linear electromagnetic medium. A recent result by Schuller, Witte and Wohl…
Determination of electromagnetic medium from the Fresnel surface
Matias F. Dahl
We study Maxwell's equations on a 4-manifold where the electromagnetic medium is described by an antisymmetric -tensor . In this setting, the Tamm-Rubilar tensor den…