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Comptes Rendus Mathématique
Volume 346, n° 3-4
pages 189-192 (février 2008)
Doi : 10.1016/j.crma.2008.01.001
Received : 13 April 2007 ;  accepted : 7 January 2008
Approximating   isometric immersions
Approximation de   par des immersions isométriques
 

Peter Hornung
Fachbereich Mathematik, Universität Duisburg-Essen, 47048 Duisburg, Germany 

Abstract

Let   be a bounded Lipschitz domain and set  . Under an additional regularity condition on the boundary ∂S (which is satisfied if it is piecewise continuously differentiable) we prove that the   closure of   agrees with  . To cite this article: P. Hornung, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

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Résumé

Soient   un domaine lipschitzien borné et   l’ensemble  . Sous une hypothèse supplémentaire de régularité sur la frontière ∂S (qui est satisfaite dans le cas où ∂S est continument différentiable par morceaux), nous prouvons que l’adhérence   de   est  . Pour citer cet article : P. Hornung, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

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