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An open global volume minimization problem

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Abstract

We present an open global minimization problem: it concerns the minimization of the volume among the compact convex sets in \({\mathbb{R}^{3}}\) of a given constant thickness.

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References

  1. Lachand-Robert Th., Oudet E. (2007) Bodies of constant width in arbitary dimension. Math. Nachr. 280(7): 740–750

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  3. Bayen, T., Hiriart-Urruty, J.-B.: Objets convexes de largeur constante (en 2D) ou d’épaisseur constante (en 3D): du neuf avec du vieux (2008), submitted

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Authors and Affiliations

  1. Institut de mathématiques, Université Paul Sabatier, 118, route de Narbonne, 31062, Toulouse Cedex 9, France

    Jean-Baptiste Hiriart-Urruty

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  1. Jean-Baptiste Hiriart-Urruty
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Correspondence to Jean-Baptiste Hiriart-Urruty.

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Hiriart-Urruty, JB. An open global volume minimization problem. J Glob Optim 45, 335–336 (2009). https://doi.org/10.1007/s10898-008-9369-8

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  • DOI: https://doi.org/10.1007/s10898-008-9369-8

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