Ai-Jun LiHenan Polytechnic UniversityQingzhong HuangJiaxing UniversityDongmeng XiShanghai University
Convex and Discrete Geometry mathscidoc:1908.40002
Corresponding to the Legendre ellipsoid and the LYZ ellipsoid, two
new sine ellipsoids are introduced in this paper. These four
ellipsoids are closely related in the Pythagorean relation and
duality. Several volume inequalities and the valuation
properties are obtained for two new
ellipsoids.
sine ellipsoid, Pythagorean theorem, duality, valuation.
@inproceedings{ai-junnew,
title={New sine ellipsoids and related volume inequalities},
author={Ai-Jun Li, Qingzhong Huang, and Dongmeng Xi},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190822154629342181450},
}
Ai-Jun Li, Qingzhong Huang, and Dongmeng Xi. New sine ellipsoids and related volume inequalities. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190822154629342181450.