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math.DG2018
A Steiner formula in the Brunn Minkowski theory
Kateryna Tatarko, Elisabeth M. Werner
We prove an analogue of the classical Steiner formula for the affine surface area of a Minkowski outer parallel body for any real parameters . We show that the classical S…
math.DG2018
A sausage body is a unique solution for a reverse isoperimetric problem
Roman Chernov, Kostiantyn Drach, Kateryna Tatarko
We consider the class of -concave bodies in ; that is, convex bodies with the property that each of their boundary points supports a tangent ball of radius $1/λ…