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Mathematics > Differential Geometry

arXiv:1411.7664 (math)
[Submitted on 27 Nov 2014]

Title:The Spherical Convex Floating Body

Authors:Florian Besau, Elisabeth Werner
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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.
Subjects: Differential Geometry (math.DG)
Cite as: arXiv:1411.7664 [math.DG]
  (or arXiv:1411.7664v1 [math.DG] for this version)
  https://doi.org/10.48550/arXiv.1411.7664

Submission history

From: Elisabeth Werner M [view email]
[v1] Thu, 27 Nov 2014 17:45:30 UTC (538 KB)
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