English

On Young hulls of convex curves in R^{2n}

dg-ga 2008-02-03 v1 Differential Geometry

Abstract

For a convex curve in an even-dimensional affine space we introduce a series of convex domains (called Young hulls), describe their structure and give a formulas fo the volume of the biggest of these domains. This paper is an attempt to generalize the classical isoperimetric inequality for the volume of the convex hull of a space curve due to I.Schoenberg.

Keywords

Cite

@article{arxiv.dg-ga/9611007,
  title  = {On Young hulls of convex curves in R^{2n}},
  author = {V. Sedykh and B. Shapiro},
  journal= {arXiv preprint arXiv:dg-ga/9611007},
  year   = {2008}
}

Comments

12 pages, AMSTEX