8 citations · 24 across the 23 of their papers we have counts for
5 papers · 1 filter
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…
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…
A few brief comments on the results of manuscript arXiv:math/0405153v3
Paolo Piccione
The results in the recently posted manuscript arXiv:math/0405153v3 are incorrect. The correct version of the aimed results is not original. The preprint contains material from refe…
On a Gromoll-Meyer type theorem in globally hyperbolic stationary spacetimes
L. Biliotti, F. Mercuri, P. Piccione
Following the lines of the celebrated Riemannian result of Gromoll and Meyer, we use infinite dimensional equivariant Morse theory to establish the existence of infinitely many geo…