Guan, Bo; Guan, Pengfei Convex hypersurfaces of prescribed curvatures. (English) Zbl 1025.53028 Ann. Math. (2) 156, No. 2, 655-673 (2002). The authors consider the problem of finding closed strictly convex hypersurfaces in \(\mathbb R^{n+1}\) whose Weingarten curvatures are prescribed as a function defined on \(S^n\) in terms of the inverse Gauss map. Reviewer: Andrzej Piatkowski (Łódź) Cited in 2 ReviewsCited in 58 Documents MSC: 53C40 Global submanifolds 53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) Keywords:hypersurface; Gauss map; Weingarten curvatures PDF BibTeX XML Cite \textit{B. Guan} and \textit{P. Guan}, Ann. Math. (2) 156, No. 2, 655--673 (2002; Zbl 1025.53028) Full Text: DOI Link