The Radon Transform on Two-Point Homogeneous Spaces

Sigurdur Helgason ()
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Sigurdur Helgason: Massachusetts Institute of Technology, Department of Mathematics

Chapter Chapter III in Integral Geometry and Radon Transforms, 2010, pp 111-169 from Springer

Abstract: Abstract Let X be a complete Riemannian manifold, x a point in X and X x the tangent space to X at x. Let Expx denote the mapping of X x into X given by Expx(u) = gu(1), where t → gu(t) is the geodesic in X through x with tangent vector u at x = gu(0).

Keywords: Hyperbolic Space; Constant Curvature; Inversion Formula; Complete Riemannian Manifold; Isotropy Subgroup (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-1-4419-6055-9_3

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