Hu, J. (2025). The Dual Minkowski Problem for Positive Indices. International Mathematics Research Notices, 2025(13), Article rnaf192. https://doi.org/10.1093/imrn/rnaf192
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
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Journal:
International Mathematics Research Notices
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ISSN:
1073-7928
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Date (published):
2-Jul-2025
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Number of Pages:
17
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Publisher:
OXFORD UNIV PRESS
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Peer reviewed:
Yes
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Keywords:
The dual Minkowski problem; existence; uniqueness
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Abstract:
We derive the stability result of the dual curvature measure with near-constant density in the even case. As an application, the existence and uniqueness of solutions to the even dual Minkowski problem for positive indices in Rn+1 are obtained with n ≥ 1, provided the density of the given measure is close to 1 in the Cα norm with α ∈ (0, 1).
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Project title:
Existenz und Eindeutigkeit von Lösungen für Krümmungsprobleme: P 36545-N (FWF - Österr. Wissenschaftsfonds)
CC BY 4.0
