79 citations · 546 across the 50 of their papers we have counts for
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Periodic Geodesics and Geometry of Compact Lorentzian Manifolds with a Killing Vector Field
Jose Luis Flores, Miguel Angel Javaloyes, Paolo Piccione
We study the geometry and the periodic geodesics of a compact Lorentzian manifold that has a Killing vector field which is timelike somewhere. Using a compactness argument for subg…
Comparison results for conjugate and focal points in semi-Riemannian geometry via Maslov index
Miguel Angel Javaloyes, Paolo Piccione
We prove an estimate on the difference of Maslov indices relative to the choice of two distinct reference Lagrangians of a continuous path in the Lagrangian Grassmannian of a sympl…
A note on the existence of standard splittings for conformally stationary spacetimes
Miguel Angel Javaloyes, Miguel Sánchez
Let be a spacetime which admits a complete timelike conformal Killing vector field . We prove that splits globally as a standard conformastationary spacetime wit…
Genericity of nondegenerate critical points and Morse geodesic functionals
Leonardo Biliotti, Miguel Angel Javaloyes, Paolo Piccione
We consider a family of variational problems on a Hilbert manifold parameterized by an open subset of a Banach manifold, and we discuss the genericity of the nondegeneracy conditio…
-periodic light rays in conformally stationary spacetimes via Finsler geometry
Leonardo Biliotti, Miguel Angel Javaloyes
In this paper we prove several multiplicity results of -periodic light rays in conformally stationary spacetimes using the Fermat metric and the extensions of the classical theo…