Smooth solutions to the Christoffel–Minkowski problem in hyperbolic space

Abstract In this article, we consider a fully nonlinear equation associated with the Christoffel–Minkowski problem in hyperbolic space. By using the full rank theorem, we establish the existence of h -convex solutions when the prescribed functions on the right-hand side are under some appropriate assumption.

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Publication Details

Journal
Canadian Journal of Mathematics
Published
2025-09-15
DOI
https://doi.org/10.4153/s0008414x25101570
Citations
1
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
3.73

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article

Smooth solutions to the Christoffel–Minkowski problem in hyperbolic space

Yong Zhou, Lu Xu, Yuanjie Lei
1 citations
Canadian Journal of Mathematics
Geometric Analysis and Curvature Flows
3.73
article

Smooth solutions to the Christoffel–Minkowski problem in hyperbolic space

Yong Zhou, Lu Xu, Yuanjie Lei
article en
1 citations

Abstract

Abstract In this article, we consider a fully nonlinear equation associated with the Christoffel–Minkowski problem in hyperbolic space. By using the full rank theorem, we establish the existence of h -convex solutions when the prescribed functions on the right-hand side are under some appropriate assumption.

Canadian Journal of Mathematics
Hunan University (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 7%
Geometric Analysis and Curvature Flows
3.73
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