arxiv: 1207.7276 · v1 · pith:5CAU5QDBnew · submitted 2012-07-31 · 🧮 math.MG · math.DG· math.FA

The Steiner Formula for Minkowski Valuations

Lukas Parapatits , Franz E. Schuster This is my paper

classification 🧮 math.MG math.DGmath.FA

keywords formulaminkowskisteinertypevaluationsinvariantmotionrigid

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A Steiner type formula for continuous translation invariant Minkowski valuations is established. In combination with a recent result on the symmetry of rigid motion invariant homogeneous bivaluations, this new Steiner type formula is used to obtain a family of Brunn-Minkowski type inequalities for rigid motion intertwining Minkowski valuations.

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The Steiner Formula for Minkowski Valuations

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