4 citations · 4 across the 5 of their papers we have counts for
5 papers
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…
On a formula for the spectral flow and its applications
Pierluigi Benevieri, Paolo Piccione
We consider a continuous path of bounded symmetric Fredholm bilinear forms with arbitrary endpoints on a real Hilbert space, and we prove a formula that gives the spectral flow of…
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…
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…