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ORIGIN-SYMMETRIC CONVEX BODIES WITH MINIMAL MAHLER VOLUME IN R2

Gangsong Leng|Youjiang Lin
대한수학회 (The Korean Mathematical Society)|2014.01|대한수학회보 (Bulletin of the KMS)|제51권 제1호|pp. 129-137

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참고문헌

키워드

convex bodypolytopespolar bodyMahler conjecture
주제분류수학

초록

In this paper, a new proof of the following result is given: The product of the volumes of an origin-symmetric convex bodies K in R2 and of its polar body is minimal if and only if K is a parallelogram.

Abstract

In this paper, a new proof of the following result is given: The product of the volumes of an origin-symmetric convex bodies K in R2 and of its polar body is minimal if and only if K is a parallelogram.

참고문헌 (17)

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PARALLEL SECTIONS HOMOTHETY BODIES WITH MINIMAL MAHLER VOLUME IN RnGangsong Leng, Youjiang Lin대한수학회 · 대한수학회보2014 · 제51권 제4호Notes on the Minkowski measure, the Minkowski symmetral, and the Banach-Mazur distanceXing Huang대한수학회 · 대한수학회지2018 · 제55권 제3호EXTREMUM PROPERTIES OF DUAL Lp-CENTROID BODY AND Lp-JOHN ELLIPSOIDTong-Yi Ma대한수학회 · 대한수학회보2012 · 제49권 제3호A stability result for p-centroid bodiesGangsong Leng, LuJun Guo, Youjiang Lin대한수학회 · 대한수학회보2018 · 제55권 제1호ON POLARS OF MIXED COMPLEX PROJECTION BODIESLijuan Liu, Qingzhong Huang, Wei Wang대한수학회 · 대한수학회보2015 · 제52권 제2호VOLUME INEQUALITIES FOR THE L p-SINE TRANSFORM OF ISOTROPIC MEASURESGangsong Leng, LuJun Guo대한수학회 · 대한수학회보2015 · 제52권 제3호

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