Rolf Schneider

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math.MG2026

Radial measures of pseudo-cones

Rolf Schneider

We consider $C$ -pseudo-cones, that is, closed convex sets $K \subset R^{n}$ with $o \in / K \subset C$ , for which $C$ is the recession cone. Here $C$ is a given closed convex…

math.MG2025

Anisotropic area measures of convex bodies

Rolf Schneider

Motivated by the relative differential geometry, where the Euclidean normal vector of hypersurfaces is generalized by a relative normalization, we introduce anisotropic area measur…

math.MG2024

The copolarity of pseudo-cones

Rolf Schneider

We show that the copolarity of pseudo-cones has analogous properties as the usual polarity of convex bodies.

math.MG2024

Weighted cone-volume measures of pseudo-cones

Rolf Schneider

A pseudo-cone in $R^{n}$ is a nonempty closed convex set $K$ not containing the origin and such that $I^» K \subseteq K$ for all $I^» \geq 1$ . It is called a $C$ -pseudo-cone if…