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Minkowski type problems for convex hypersurfaces in hyperbolic space

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arxiv math/0602597 v2 pith:ULXK5WVA submitted 2006-02-27 math.DG

Claus Gerhardt This is my paper · ORCID
classification math.DG
keywords convexhyperbolichypersurfacesspaceclassclosedconsidercurvature
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abstract

We consider the problem $F=f(\nu)$ for strictly convex, closed hypersurfaces in hyperbolic space and solve it for curvature functions $F$ the inverses of which are of class $(K^*)$.

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Cited by 1 Pith paper

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  1. The horospherical $p$-Christoffel-Minkowski and prescribed $p$-shifted Weingarten curvature problems in hyperbolic space

    math.DG 2024-11 conditional novelty 7.0 of 10

    Smooth even strictly horospherically convex solutions exist for the horospherical p-Christoffel-Minkowski problem and the new p-shifted Weingarten problem in hyperbolic space for p≥−n, under convexity bounds on f.

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