Elisabeth M. Werner

activity

20112026

most citedFunctional versions of L_p-affine surface area and entropy inequalities

4 citations · 6 across the 8 of their papers we have counts for

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math.MG2026

Illumination bodies for ball-convex bodies

Brandon Oliva, Elisabeth M. Werner, Diliya Yalikun

We introduce illumination bodies and weighted illumination bodies in the class of $n$ -dimensional $R$ -ball convex bodies. These bodies may be regarded as dual counterparts of the r…

math.MG2026

Illumination Bodies in Projective Geometries

Rotem Assouline, Florian Besau, Elisabeth M. Werner

We extend the notion of illumination bodies to Riemannian spaces of constant curvature and to projective Finsler geometries. We prove that the derivative of their volume defines a…