4 citations · 4 across the 5 of their papers we have counts for
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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…
-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…
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…
Conjugate points and Maslov index in locally symmetric semi-Riemannian manifolds
Miguel Angel Javaloyes, Paolo Piccione
We study the singularities of the exponential map in semi Riemannian locally symmetric manifolds. Conjugate points along geodesics depend only on real negative eigenvalues of the c…