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Sharp affine isoperimetric inequalities for the Minkowski first mixed volume
Author(s) -
Sun Qiang,
Xiong Ge
Publication year - 2020
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms.12316
Subject(s) - isoperimetric inequality , mathematics , minkowski space , affine transformation , mixed volume , volume (thermodynamics) , pure mathematics , invariant (physics) , mathematical analysis , geometry , mathematical physics , convex body , regular polygon , physics , quantum mechanics , convex hull
The sharp bounds for the affine invariant ratio of the mixed cone‐volume functional to the Minkowski first mixed volume are obtained, and therefore new affine isoperimetric inequalities for the Minkowski first mixed volume are established.