79 citations · 217 across the 15 of their papers we have counts for
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Multiple connecting geodesics of a Randers-Kropina metric via homotopy theory for solutions of an affine control system
Erasmo Caponio, Miguel Angel Javaloyes, Antonio Masiello
We consider a geodesic problem in a manifold endowed with a Randers-Kropina metric. This is a type of singular Finsler metric arising both in the description of the lightlike vecto…
Connecting and closed geodesics of a Kropina metric
Erasmo Caponio, Fabio Giannoni, Antonio Masiello +1
We prove some results about existence of connecting and closed geodesics in a manifold endowed with a Kropina metric. These have applications to both null geodesics of spacetimes e…
On the analyticity of static solutions of a field equation in Finsler gravity
Erasmo Caponio, Antonio Masiello
It is well-known that static vacuum solutions of Einstein equations are analytic in suitable coordinates. We ask here for an extension of this result in the context of Finsler grav…
Harmonic Coordinates for the Nonlinear Finsler Laplacian and Some Regularity Results for Berwald Metrics
Erasmo Caponio, Antonio Masiello
We prove existence of harmonic coordinates for the nonlinear Laplacian of a Finsler manifold and apply them in a proof of the Myers--Steenrod theorem for Finsler manifolds. Differe…
Addendum to "Morse theory of causal geodesics in a stationary spacetime via Morse theory of geodesics of a Finsler metric", Ann. Inst. H. Poincaré Anal. Non Linéaire, 27 (2010) 857--876
Erasmo Caponio, Miguel Angel Javaloyes, Antonio Masiello
We give the details of the proof of the equality between the critical groups, with respect the H^1 and C^1 topology, at a non-degenerate critical point of the energy functional of…
Finsler geodesics in the presence of a convex function and their applications
Erasmo Caponio, Miguel Angel Javaloyes, Antonio Masiello
We obtain a result about the existence of only a finite number of geodesics between two fixed non-conjugate points in a Finsler manifold endowed with a convex function. We apply it…