Biholomorphism rigidity for transport twistor spaces
Copyright policy )Biholomorphism rigidity for transport twistor spaces
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.
- University of Bonn Germany
- University of California, Davis United States
- Washington University in St. Louis United States
- University of Mary United States
Mathematics - Differential Geometry, Twistor methods in differential geometry, Dynamics induced by group actions other than \(\mathbb{Z}\) and \(\mathbb{R}\), and \(\mathbb{C}\), Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.), inverse problems, Mathematics - Complex Variables, Mathematics - Analysis of PDEs, rigidity, Differential Geometry (math.DG), FOS: Mathematics, Twistor theory, double fibrations (complex-analytic aspects), complex geometry, Complex Variables (math.CV), Analysis of PDEs (math.AP)
Mathematics - Differential Geometry, Twistor methods in differential geometry, Dynamics induced by group actions other than \(\mathbb{Z}\) and \(\mathbb{R}\), and \(\mathbb{C}\), Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.), inverse problems, Mathematics - Complex Variables, Mathematics - Analysis of PDEs, rigidity, Differential Geometry (math.DG), FOS: Mathematics, Twistor theory, double fibrations (complex-analytic aspects), complex geometry, Complex Variables (math.CV), Analysis of PDEs (math.AP)
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