The Spherical Convex Floating Body
Differential Geometry
2014-12-01 v1
Abstract
For a convex body on the Euclidean unit sphere the spherical convex floating body is introduced. The asymptotic behavior of the volume difference of a spherical convex body and its spherical floating body is investigated. This gives rise to a new spherical area measure, the floating area. Remarkably, this floating area turns out to be a spherical analogue to the classical affine surface area from affine differential geometry. Several properties of the floating area are established.
Keywords
Cite
@article{arxiv.1411.7664,
title = {The Spherical Convex Floating Body},
author = {Florian Besau and Elisabeth Werner},
journal= {arXiv preprint arXiv:1411.7664},
year = {2014}
}