Simple estimates for ellipsoid measures
度量几何
2007-05-23 v2 数论
摘要
We write down estimates for the surface area, and more generally, integral mean curvatures of an ellipsoid E in n-dimensional Euclidean space in terms of the lengths of the major semi-axes. We give applications to estimating the area of parallel surfaces and volume of the tubular neighborhood of E, to the counting of lattice points contained in E and to estimating the shape of the John ellipsoid of a convex body.
关键词
引用
@article{arxiv.math/0306085,
title = {Simple estimates for ellipsoid measures},
author = {Igor Rivin},
journal= {arXiv preprint arXiv:math/0306085},
year = {2007}
}