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Further inequalities and properties of p-inner parallel bodies
Published online by Cambridge University Press: 09 November 2020
Abstract
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.
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- © Canadian Mathematical Society 2020
Footnotes
D. X. was supported by the NSFC 11601310. Z. Z. was supported by the NSFC 11471209.
References
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