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The Radon Transform on Two-Point Homogeneous Spaces

Chapter

Abstract

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

Keywords

Hyperbolic Space Constant Curvature Inversion Formula Complete Riemannian Manifold Isotropy Subgroup 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Sigurdur Helgason 2011

Authors and Affiliations

  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA

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