108 citations · 866 across the 54 of their papers we have counts for
4 papers · 1 filter
Geometry of weighted Lorentz-Finsler manifolds II: A splitting theorem
Yufeng Lu, Ettore Minguzzi, Shin-ichi Ohta
We show an analogue of the Lorentzian splitting theorem for weighted Lorentz-Finsler manifolds: If a weighted Berwald spacetime of nonnegative weighted Ricci curvature satisfies ce…
Low regularity extensions beyond Cauchy horizons
Martin Lesourd, Ettore Minguzzi
We prove that if in a spacetime endowed with a merely continuous metric, a complete partial Cauchy hypersurface has nonempty Cauchy horizon, then the horizon is caused by the prese…
Surface gravity of compact non-degenerate horizons under the dominant energy condition
Sebastian Gurriaran, Ettore Minguzzi
We prove that under the dominant energy condition any non-degenerate smooth compact totally geodesic horizon admits a smooth tangent vector field of constant non-zero surface gravi…
A metrical approach to Finsler geometry
E. Minguzzi
In the standard approach to Finsler geometry the metric is defined as a vertical Hessian and the Chern or Cartan connections appear as just two among many possible natural linear c…