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Surfaces with congruent shadow-lines
Published online by Cambridge University Press: 26 February 2010
Extract
The aim of this paper is to prove the following
THEOREM. Let M be a C∞ compact and strictly convex surface embedded in the euclidean space E3 or in the hyperbolic space H3. We suppose that all shadow-lines ofM are congruent. Then M is a euclidean 2-sphere or a hyperbolic 2-sphere respectively.
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- Copyright © University College London 1990
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