ID: math/0306085

Simple estimates for ellipsoid measures

June 4, 2003

View on ArXiv
Igor Rivin
Mathematics
Metric Geometry
Number Theory

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.

Similar papers 1