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arXiv · 2601.18167

A necessary condition for the logarithmic Minkowksi problem in higher dimension

Mijia Lai·Zixiao Wang
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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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Mijia Lai, Zixiao Wang. 2026-01-26. A necessary condition for the logarithmic Minkowksi problem in higher dimension. https://arxiv.org/abs/2601.18167

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