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ArticleOriginal scientific text

Title

Singularities of convex hulls as fronts of Legendre varieties

Authors 1

Affiliations

  1. Independent University of Moscow, Bol'shoĭ, Vlas'evskiĭ, per. 11, Moscow 121002, Russia

Abstract

We describe singularities of the convex hull of a generic compact smooth hypersurface in four-dimensional affine space up to diffeomorphism. It turns out that the boundary of the convex hull is the front of a Legendre variety. Its singularities are classified up to contact diffeomorphism.

Bibliography

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Banach Center Publications
1999/50/1
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Pages:
61-74
Main language of publication
English
Published
1999
Exact and natural sciences