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Minkowski type problems for convex hypersurfaces in the sphere

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Publication:938578
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DOI10.4310/PAMQ.2007.v3.n2.a2zbMath1152.53043arXivmath/0509217OpenAlexW2052688693MaRDI QIDQ938578

Claus Gerhard

Publication date: 26 August 2008

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509217


zbMATH Keywords

Gauss mapmean curvature vectorMinkowski type problems


Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Global submanifolds (53C40) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)


Related Items (2)

The spherical convex floating body ⋮ Prescribing Gauss curvature of surfaces in 3-dimensional spacetimes. Application to the Minkowski problem in the Minkowski space






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