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Peer-reviewedCC BYCommunications in mathematical physics

Finite Codimension Stability of Invariant Surfaces.

  • Giovanni Forni1,2
  1. 1Department of Mathematics, University of Maryland, College Park, MD USA.
  2. 2CY Cergy Paris Université, Cergy-Pontoise, France.
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Abstract

Following recent work of Alazard and Shao [AlSh] on applications of para-differential calculus to smooth conjugacy and stability problems for Hamiltonian systems, we prove finite codimension stability of invariant surfaces (in finite differentiability classes) of flat geodesic flows on translation surfaces. The result is also based on work of the author [F97, F21] on the cohomological equation for translation flows.

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Cite

BibTeXRIS
BibTeX
@article{forni2026finite,
  title = {{Finite Codimension Stability of Invariant Surfaces.}},
  author = {Giovanni Forni},
  journal = {Communications in mathematical physics},
  year = {2026},
  month = oct,
  doi = {10.1007/s00220-026-05764-5},
  url = {https://europepmc.org/article/MED/42948153},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Finite Codimension Stability of Invariant Surfaces.
AU  - Giovanni Forni
PY  - 2026
DA  - 2026/10/26
JO  - Communications in mathematical physics
DO  - 10.1007/s00220-026-05764-5
UR  - https://europepmc.org/article/MED/42948153
AB  - Following recent work of Alazard and Shao [AlSh] on applications of para-differential calculus to smooth conjugacy and stability problems for Hamiltonian systems, we prove finite codimension stability of invariant surfaces (in finite differentiability classes) of flat geodesic flows on translation surfaces. The result is also based on work of the author [F97, F21] on the cohomological equation for translation flows.
SN  - 0010-3616
SN  - 1432-0916
ER  -