45 citations · 194 across the 35 of their papers we have counts for
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math.DS2006
High action orbits for Tonelli Lagrangians and superlinear Hamiltonians on compact configuration spaces
Alberto Abbondandolo, Alessio Figalli
Multiplicity results for solutions of various boundary value problems are known for dynamical systems on compact configuration manifolds, given by Lagrangians or Hamiltonians which…
math.DG2006★ 2 cited
A Morse complex for Lorentzian geodesics
Alberto Abbondandolo, Pietro Majer
We prove the Morse relations for the set of all geodesics connecting two non-conjugate points on a class of globally hyperbolic Lorentzian manifolds. We overcome the difficulties c…