Abstract

We are interested in the geometric characterization of tangency points of a minimal area tetrahedron circumscribed around a strictly convex compact body in R3\mathbb{R}^3.

Author information

Contact details are reproduced from the original publication and may be historical.

Andrzej Miernowski

Instytut Matematyki, Uniwersytet M. Curie-Skłodowskiej, pl. M. Curie-Skłodowskiej 1, 20-031 Lublin, Poland

mierand@golem.umcs.lublin.pl

Witold Mozgawa

Instytut Matematyki, Uniwersytet M. Curie-Skłodowskiej, pl. M. Curie-Skłodowskiej 1, 20-031 Lublin, Poland

mozgawa@golem.umcs.lublin.pl

Witold Rzymowski

Instytut Matematyki, Uniwersytet M. Curie-Skłodowskiej, pl. M. Curie-Skłodowskiej 1, 20-031 Lublin, Poland

witrz@golem.umcs.lublin.pl

Keywords

  • Tetrahedron
  • Lagrange multiplier
  • circumscribing
  • homothety

Mathematics Subject Classification

52A15, 53A05

Suggested citation

A. Miernowski, W. Mozgawa, W. Rzymowski. “Minimal Area Tetrahedron Circumscribing a Strictly Convex Body in ℝ^3.” Journal of Convex Analysis 14 (2007), No. 1, 27–33. https://doi.org/10.68381/jca14003

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Published by Heldermann Verlag, 2007. Rights now held by Banach Press.