Elisabeth M. Werner

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math.MG2024

The $L_{p}$ -floating area, curvature entropy, and isoperimetric inequalities on the sphere

Florian Besau, Elisabeth M. Werner

We explore analogs of classical centro-affine invariant isoperimetric inequalities, such as the Blaschke--Santaló inequality and the $L_{p}$ -affine isoperimetric inequalities, for co…

math.MG2023

Floating bodies and duality in spaces of constant curvature

Florian Besau, Elisabeth M. Werner

We investigate a natural analog to Lutwak's $p$ -affine surface area in $d$ -dimensional spherical, hyperbolic and de Sitter space. In particular, we show that these curvature measur…

The Lp​-floating area, curvature entropy, and isoperimetric inequalities on the sphere

Floating bodies and duality in spaces of constant curvature

The $L_{p}$ -floating area, curvature entropy, and isoperimetric inequalities on the sphere