The Existence of Convex Body with Prescribed Curvature Measures

DOI10.1093/imrn/rnp007zbMath1178.53010OpenAlexW1999717316MaRDI QIDQ3638211

Pengfei Guan, Xi-Nan Ma, Chang-Shou Lin

Publication date: 2 July 2009

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imrn/rnp007

zbMATH Keywords

convex bodycurvature measureconvex hypersurfaceAlexandrov problemChristoffel-Minkowski problemsurface area measure

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

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