Abstract
In this paper, we introduce a new measure of asymmetry, called log-Minkowski measure of asymmetry for planar convex bodies in terms of the \(L_0\)-mixed volume, and show that triangles are the most asymmetric planar convex bodies in the sense of this measure of asymmetry.
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The author is grateful to the referees for their valuable suggestions and comments.
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Project supported by NSF of Jiangsu Province No. BK20171218 and National NSF of China No. 11671293.
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Jin, H. The log-Minkowski measure of asymmetry for convex bodies. Geom Dedicata 196, 27–34 (2018). https://doi.org/10.1007/s10711-017-0302-5
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DOI: https://doi.org/10.1007/s10711-017-0302-5