On the interplay between Lorentzian causality and Finsler metrics of Randers type
On the interplay between Lorentzian Causality and Finsler metrics of Randers type Page 1
Rev. Mat. Iberoamericana 27 (2011), no. 3, 919–952 On the interplay between Lorentzian …
Rev. Mat. Iberoamericana 27 (2011), no. 3, 919–952 On the interplay between Lorentzian …
A smooth pseudo-gradient for the Lagrangian action functional
A Abbondandolo, M Schwarzy - Advanced Nonlinear Studies, 2009 - degruyter.com
We study the action functional associated to a smooth Lagrangian function on the tangent
bundle of a manifold, having quadratic growth in the velocities. We show that, although the …
bundle of a manifold, having quadratic growth in the velocities. We show that, although the …
Wind Finslerian structures: from Zermelo's navigation to the causality of spacetimes
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 …
metrics where the indicatrices at the tangent spaces may not contain the zero vector. In the …
Finsler metrics and relativistic spacetimes
MA Javaloyes, M Sánchez - International Journal of Geometric …, 2014 - World Scientific
Finsler metrics and relativistic spacetimes Page 1 International Journal of Geometric
Methods in Modern Physics Vol. 11, No. 9 (2014) 1460032 (15 pages) c World Scientific …
Methods in Modern Physics Vol. 11, No. 9 (2014) 1460032 (15 pages) c World Scientific …
On Finsler spacetimes with a timelike Killing vector field
E Caponio, G Stancarone - Classical and Quantum Gravity, 2018 - iopscience.iop.org
We study Finsler spacetimes and Killing vector fields taking care of the fact that the
generalised metric tensor associated to the Lorentz–Finsler function L is in general well …
generalised metric tensor associated to the Lorentz–Finsler function L is in general well …
An account on links between Finsler and Lorentz Geometries for Riemannian Geometers
MÁ Javaloyes, E Pendás-Recondo… - New Trends in Geometric …, 2023 - Springer
Some links between Lorentz and Finsler geometries have been developed in the last years,
with applications even to the Riemannian case. Our purpose is to give a brief description of …
with applications even to the Riemannian case. Our purpose is to give a brief description of …
Geodesics and Jacobi fields of pseudo-Finsler manifolds
MA Javaloyes, BL Soares - arXiv preprint arXiv:1401.8149, 2014 - arxiv.org
In this paper, we derive the first and the second variation of the energy functional for a
pseudo-Finsler metric using the family of affine connections associated to the Chern …
pseudo-Finsler metric using the family of affine connections associated to the Chern …
[HTML][HTML] Almost isometries of non-reversible metrics with applications to stationary spacetimes
MA Javaloyes, L Lichtenfelz, P Piccione - Journal of Geometry and Physics, 2015 - Elsevier
We develop the basics of a theory of almost isometries for spaces endowed with a quasi-
metric. The case of non-reversible Finsler (more specifically, Randers) metrics is of particular …
metric. The case of non-reversible Finsler (more specifically, Randers) metrics is of particular …
Fermat metrics
A Masiello - Symmetry, 2021 - mdpi.com
In this paper we present a survey of Fermat metrics and their applications to stationary
spacetimes. A Fermat principle for light rays is stated in this class of spacetimes and we …
spacetimes. A Fermat principle for light rays is stated in this class of spacetimes and we …
On projective equivalence and pointwise projective relation of Randers metrics
VS Matveev - International Journal of Mathematics, 2012 - World Scientific
We prove that projective equivalence of two Randers Finsler metrics and such that at least
one of the one-forms ω and is not closed implies that for a certain constant C> 0 we have …
one of the one-forms ω and is not closed implies that for a certain constant C> 0 we have …