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Separation of hypersurfaces

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Abstract

We give a generalization of results obtained in [15]. LetK n denote the set of embedded hypersurfaces in ℝn+1; for all xεSn and MεK n we denote by C Mx the apparent contour ofM in the directionx. Then we give a sufficient condition on W⊂Sn such that the map ϕW K n:K n →P(T Sn) , defined by ϕ KW n (M)=∪{C Mw ¦ wεW}, is injective.

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  1. Faculté des Sciences, Institut de Mathématiques, Université de Lausanne, CH-1015, Lausanne-Dorigny, Suisse

    François Pointet

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  1. François Pointet
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Pointet, F. Separation of hypersurfaces. J Geom 59, 114–124 (1997). https://doi.org/10.1007/BF01229570

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  • DOI: https://doi.org/10.1007/BF01229570

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