Floating Bodies and Duality in Spaces of Constant Curvature

Explore an advanced mathematical lecture on floating bodies and duality in spaces of constant curvature. Delve into the extension of Meyer & Werner's work on Lutwak's p-affine surface area to spherical and hyperbolic spaces. Examine how the volume derivative of the floating body of a convex body, conjugated by polarity, relates to p-affine surface area in d-dimensional Euclidean space. Investigate the generalization of this concept to spaces with constant curvature, and understand how the Euclidean result can be derived through a limiting process as space curvature approaches zero. Gain insights into this complex topic, based on joint research with Elisabeth Werner, presented by Florian Besau at the Hausdorff Center for Mathematics.

Florian Besau: Floating bodies and duality in spaces of constant curvature