3 papers
math.DG2026
Zoll magnetic structures and ruled surfaces
Jan Bohr, Gabriel P. Paternain
A Zoll magnetic system on an oriented closed surface is a Riemannian metric together with a function , such that every unit speed solution of the…
math.DG2026
Local and Global Blow Downs of Transport Twistor Space
Jan Bohr, François Monard, Gabriel P. Paternain
Transport twistor spaces are degenerate complex -dimensional manifolds that complexify transport problems on Riemannian surfaces, appearing, e.g., in geometric inverse probl…
math.DG2024
Biholomorphism Rigidity for Transport Twistor Spaces
Jan Bohr, François Monard, Gabriel P. Paternain
We prove that biholomorphisms between the transport twistor spaces of simple or Anosov surfaces exhibit rigidity: they must be, up to constant rescaling and the antipodal map, the…