Simple estimates for ellipsoid measures

Details Simple estimates for ellipsoid measures Simple estimates for ellipsoid measures

2003-06-04

arxiv.org/abs/math/0306085v2

Mathematics

Metric Geometry

Scientific paper

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.

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