The transport Oka-Grauert principle for simple surfaces

DOI10.5802/jep.231zbMath1529.53051arXiv2108.05125OpenAlexW3190754958WikidataQ125593361 ScholiaQ125593361MaRDI QIDQ6158342

Jan Bohr, Gabriel P. Paternain

Publication date: 31 May 2023

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.05125

zbMATH Keywords

transport equationOka-Grauert principleholomorphic integrating factorsnonabelian X-ray transform

Mathematics Subject Classification ID

Pseudodifferential and Fourier integral operators on manifolds (58J40) Twistor methods in differential geometry (53C28) Stein manifolds (32Q28) Oka principle and Oka manifolds (32Q56)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the range of the attenuated magnetic ray transform for connections and Higgs fields
• Twistor spaces
• Zoll metrics, branched covers, and holomorphic disks
• The attenuated ray transform on simple surfaces
• Analytische Faserungen über holomorph-vollständigen Räumen
• Convex projective surfaces with compatible Weyl connection are hyperbolic
• On non-abelian Radon transform
• Some inverse spectral results for negatively curved 2-manifolds
• Several complex variables. IV. Algebraic aspects of complex analysis. Transl. from the Russian by J. Leiterer and J. Nunemacher
• Inversion formulas and range characterizations for the attenuated geodesic ray transform
• Zoll manifolds and complex surfaces.
• Integral geometry for tensor fields. Transl. from the Russian
• The attenuated ray transform for connections and Higgs fields
• Metrisability of projective surfaces and pseudo-holomorphic curves
• Local and global boundary rigidity and the geodesic X-ray transform in the normal gauge
• Statistical guarantees for Bayesian uncertainty quantification in nonlinear inverse problems with Gaussian process priors
• Lectures on the theory of functions of several complex variables. Notes by Raghavan Narasimhan. Reprint
• Two dimensional compact simple Riemannian manifolds are boundary distance rigid
• The inverse problem for the local geodesic ray transform
• The x-ray transform for a non-Abelian connection in two dimensions
• Stein Manifolds and Holomorphic Mappings
• 5. Non-Abelian Radon transform and its applications
• Global anti-self-dual Yang-Mills fields in split signature and their scattering
• The inverse function theorem of Nash and Moser
• Self-duality in four-dimensional Riemannian geometry
• ON DETERMINATION OF A GAUGE FIELD ON ℝ^d FROM ITS NON-ABELIAN RADON TRANSFORM ALONG ORIENTED STRAIGHT LINES
• On the inverse problem of determining a connection on a vector bundle
• Consistent Inversion of Noisy <scp>Non‐Abelian X‐Ray</scp> Transforms
• Polarimetric neutron tomography of magnetic fields: uniqueness of solution and reconstruction
• Geometric Inverse Problems
• On the Range of the Attenuated Ray Transform for Unitary Connections
• The geodesic X-ray transform with matrix weights
• Extension of C ∞ Functions Defined in a Half Space

This page was built for publication: The transport Oka-Grauert principle for simple surfaces