Support Theorems for Totally Geodesic Radon Transforms on Constant Curvature Spaces

DOI10.2307/2161033zbMath0852.44001OpenAlexW4241053775MaRDI QIDQ4313333

Árpád Kurusa

Publication date: 16 November 1994

Full work available at URL: https://doi.org/10.2307/2161033

zbMATH Keywords

Riemannian manifoldconstant curvature spacessupport theoremsgeodesic correspondencetotally geodesic Radon transforms

Mathematics Subject Classification ID

Radon transform (44A12) Integral geometry (53C65)

Related Items (15)

Support theorems for Funk-type isodistant Radon transforms on constant curvature spaces ⋮ Radon transforms on affine Grassmannians ⋮ Weighted norm inequalities for $k$-plane transforms ⋮ On the spherical slice transform ⋮ Radon transforms and Gegenbauer-Chebyshev integrals. II: Examples ⋮ Higher-rank Radon transforms on constant curvature spaces ⋮ Null spaces of Radon transforms ⋮ Symmetric subvarieties in compactifications and the Radon transform on Riemannian symmetric spaces of noncompact type. ⋮ Euler's ratio-sum formula in projective-metric spaces ⋮ On functions on the sphere with zero integrals over geodesics ⋮ Microlocal Analysis in Tomography ⋮ The Radon transform for double fibrations of semisimple symmetric spaces ⋮ Inversion formulas of integral geometry in real hyperbolic space ⋮ Ceva's and Menelaus' theorems in projective-metric spaces ⋮ Radon, cosine and sine transforms on real hyperbolic space

Cites Work

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• On the laws of trigonometries of two-point homogeneous spaces
• Erratum: The invertibility of rotation invariant Radon transforms
• Asymptotic formulas for the dual Radon transform and applications
• Support theorems for real-analytic Radon transforms
• The Radon transform
• Support of Radon transforms
• The Radon transform on hyperbolic space
• Functions on a sphere with vanishing integrals over certain subspheres
• Range of the k-dimensional Radon transform in real hyperbolic spaces
• The Invertibility of the Radon Transform on Abstract Rotational Manifolds of Real Type.

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