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Uniqueness theorems for convex bodies in non-Euclidean spaces
Published online by Cambridge University Press: 26 February 2010
Abstract
The notion of generalized X-ray for star sets in a Riemannian manifold is introduced to prove uniqueness theorems for convex bodies contained in a simply convex neighbourhood of a two-manifold. These results extend to the whole space and to arbitrary dimension when spaces of constant curvature are considered. As a consequence, a characterization of centrally symmetric convex bodies is obtained.
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- Copyright © University College London 2002
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