79 citations · 546 across the 50 of their papers we have counts for
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Spectral flow and iteration of closed semi-Riemannian geodesics
Miguel Angel Javaloyes, Paolo Piccione
We introduce the notion of spectral flow along a periodic semi-Riemannian geodesic, as a suitable substitute of the Morse index in the Riemannian case. We study the growth of the s…
Pseudo focal points along Lorentzian geodesics and Morse index
Miguel Angel Javaloyes, Antonio Masiello, Paolo Piccione
Given a Lorentzian manifold , a geodesic in and a timelike Jacobi field along , we introduce a special class of instants along that we call $\mat…
On Cauchy surfaces in conformally stationary spacetimes
Erasmo Caponio, Miguel Angel Javaloyes
This paper has been withdrawn by the authors because it has been merged with paper arXiv:0903.3501v1 [math.DG]
Iteration of closed geodesics in stationary Lorentzian manifolds
Miguel Angel Javaloyes, Levi Lopes de Lima, Paolo Piccione
Following the lines of a celebrated result by R. Bott (Comm. Pure Appl. Math. 9, 1956) we study the Morse index of the iterated of a closed geodesic in stationary Lorentzian manifo…
On the energy functional on Finsler manifolds and applications to stationary spacetimes
Erasmo Caponio, Miguel Angel Javaloyes, Antonio Masiello
In this paper we first study some global properties of the energy functional on a non-reversible Finsler manifold. In particular we present a fully detailed proof of the Palais--Sm…