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A necessary condition for the logarithmic Minkowksi problem in higher dimension

Published 26 Jan 2026 in math.DG | (2601.18167v1)

Abstract: In this paper, we establish a necessary condition for the logarithmic Minkowski problem in higher dimensions. This result generalizes a necessary condition proposed by Liu, Lu, Sun, and Xiong in their investigation of the two-dimensional case, and also refines the so-called subspace concentration condition.

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