The totally geodesic Radon transform on the Lorentz space of curvarture \(-1\)

DOI10.1215/S0012-7094-97-08618-XzbMath0872.44003OpenAlexW2126359441MaRDI QIDQ679045

Árpád Kurusa

Publication date: 28 May 1997

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-97-08618-x

zbMATH Keywords

constant curvatureLorentz spacetotally geodesic Radon transform

Mathematics Subject Classification ID

Radon transform (44A12) Geodesics in global differential geometry (53C22) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Integral geometry (53C65)

Related Items (1)

Inversion formulas of integral geometry in real hyperbolic space

Cites Work

• Unnamed Item
• Singular value decompositions and inversion methods for the exterior Radon transform and a spherical transform
• The Radon transform
• A characterization of the Radon transform's range by a system of PDEs
• Orbital integrals on the Lorentz space of curvature \(-1\)
• Differential operators on homogeneous spaces
• Some Remarks on the Exponential Mapping for an Affine Connection.
• A unified radon inversion formula
• The Invertibility of the Radon Transform on Abstract Rotational Manifolds of Real Type.
• Spherical Harmonics

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