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Affine dual Minkowski problem for general measures
Abstract
In 2025, the affine dual curvature measures C̃ma(K,·) of convex body K were introduced by Cai, Leng, Wu, and Xi, and the even Minkowski problem for the affine dual curvature measures was solved. In this paper, the necessary and sufficient condition of affine dual Minkowski problem for general measures with m>1 are proposed.
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BibTeX
@misc{zhang2026affine,
title = {{Affine dual Minkowski problem for general measures}},
author = {Cheng Zhang and Hailin Jin},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.20003},
eprint = {2609.20003},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.20003},
}
RIS
TY - UNPB
TI - Affine dual Minkowski problem for general measures
AU - Cheng Zhang
AU - Hailin Jin
PY - 2026
DA - 2026/09/17
PB - arXiv
DO - 10.48550/arxiv.2609.20003
UR - https://arxiv.org/abs/2609.20003
AB - In 2025, the affine dual curvature measures C̃_m^a(K,·) of convex body K were introduced by Cai, Leng, Wu, and Xi, and the even Minkowski problem for the affine dual curvature measures was solved. In this paper, the necessary and sufficient condition of affine dual Minkowski problem for general measures with m>1 are proposed.
ER -