Biholomorphism Rigidity for Transport Twistor Spaces
Differential Geometry
2024-10-10 v1 Analysis of PDEs
Complex Variables
Abstract
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 lift of an orientation preserving isometry.
Keywords
Cite
@article{arxiv.2410.06359,
title = {Biholomorphism Rigidity for Transport Twistor Spaces},
author = {Jan Bohr and François Monard and Gabriel P. Paternain},
journal= {arXiv preprint arXiv:2410.06359},
year = {2024}
}