Applications of new affine invariant for polytopes

作者:Yang Liu; He Bin wu
来源:Applied Mathematics and Mechanics (English Edition ), 2008, 29(2): 273-278.
DOI:10.1007/s10483-008-0215-y

摘要

To study the Schneider's projection problem, Lutwak, Yang and Zhang recently introduced a new affine invariant functional U(P) for convex polytopes in R-n. In the paper, we obtain the analytic expression of the affine-invariant U(P) defined on a specific subclass of origin-symmetric convex polytopes in R-n and give an application of U(P) to the L-p-Minkowski problem.

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