Geodesic
Further inequalities and properties of p-inner parallel bodies
Canadian journal of mathematics, Tome 74 (2022) no. 2, pp. 368-380

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DOI

A. R. Martínez Fernández obtained upper bounds for quermassintegrals of the p-inner parallel bodies: an extension of the classical inner parallel body to the $L_p$-Brunn-Minkowski theory. In this paper, we establish (sharp) upper and lower bounds for quermassintegrals of p-inner parallel bodies. Moreover, the sufficient and necessary conditions of the equality case for the main inequality are obtained, which characterize the so-called tangential bodies.
DOI : 10.4153/S0008414X20000796
Mots-clés : p-Inner parallel body, 0-extreme normal vector, tangential body 
Lou, Yingying; Xi, Dongmeng; Zeng, Zhenbing. Further inequalities and properties of p-inner parallel bodies. Canadian journal of mathematics, Tome 74 (2022) no. 2, pp. 368-380. doi: 10.4153/S0008414X20000796
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