Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 45, No. 2, pp. 581-594 (2004)

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Radii of simplices and some applications to geometric inequalities

René Brandenberg and Thorsten Theobald

Zentrum Mathematik, Technische Universität München, Boltzmannstr. 3, D--85747 Gar\-ching bei München, e-mail: brandenb@ma.tum.de e-mail: theobald@ma.tum.de

Abstract: We review some recent results on inner and outer $j$-radii of simplices and general convex bodies. In particular, we discuss two lines of research whose present-day developments were strongly influenced by work of Bernulf Wei{ß}bach: radii of regular simplices and geometric inequalities among the radii.

Keywords: Radii, geometric inequalities, simplices, convex bodies, enclosing cylinders, orthogonal projections

Classification (MSC2000): 52A20, 52A40, 52B12

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Electronic version published on: 9 Sep 2004. This page was last modified: 4 May 2006.

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