Beiträge zur Algebra und Geometrie / Contributions to Algebra and GeometryVol. 40, No. 1, pp. 113-124 (1999)

Kinematic Formulae for Support Measures of Convex Bodies

Stefan Glasauer

Mathematisches Institut, Universität Freiburg, Eckerstr. 1, D-79104 Freiburg, Germany, e-mail:

Abstract: A new kinematic formula for the support measures of convex bodies is proved. The underlying operation is the convex hull operation for pairs of convex bodies. Further, the concept of mixed support measures is introduced and kinematic relations for these new functionals are indicated.

Keywords: convex body, convex hull operation, support measure, principal kinematic formula.

Classification (MSC91): 52A20, 52A22

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