3 papers
math.DS2018
Non-resonant tori in symplectic twist maps without conjugate points
Marc Arcostanzo
We study the dynamics of a symplectic twist map without conjugate points. We show that in a neighborhood of a totally periodic Lagrangian manifold, there exists a large family of i…
math.DS2016
The integrability of symplectic twist maps without conjugate points
Marc Arcostanzo
We prove that symplectic twist maps defined on the cotangent bundle of the d-dimensional torus that have no conjugate points are integrable, i.e. the cotangent bundle is cont…
math.DG2008
Relative radial mass and rigidity of some warped product manifolds
Marc Arcostanzo, Erwann Delay
We give a Riccati type formula adapted for two metrics having the same geodesics rays starting from a point or orthogonal to an hypersurface, one of these metrics being a warped pr…