New sine ellipsoids and related volume inequalities

Ai-Jun Li Henan Polytechnic University Qingzhong Huang Jiaxing University Dongmeng Xi Shanghai 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.
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@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.
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