Author

Ibrahim Trifa

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Preprint Oct 2026

A counterexample to the generalized Viterbo conjecture on the spectral distance in a disc cotangent bundle

We prove the unboundedness of the spectral distance on the space of Lagrangians Hamiltonian isotopic to the zero section within the disc cotangent bundle of a closed manifold satisfying some topological assumptions. This disproves the generalization of a conjecture due to Claude Viterbo. The proof relies on a direct co...

Filip Broćić, Baptiste Serraille, Ibrahim Trifa · 0 citations

Preprint Sep 2026

A Multidimensional Birkhoff Theorem for some $C^0$ Lagrangians

We prove a multidimensional Birkhoff theorem for a new class of"$C^0$ Lagrangian subsets"in cotangent bundles, obtained as Hausdorff limits of compact exact Lagrangian submanifolds with control on their Liouville primitives. If the successive images of such a subset $L$ under the flow of a Tonelli Hamiltonian admit con...

Skander Charfi, Ibrahim Trifa · 0 citations