Granados Pinzón, Claudia A particular case of the problem of precribed scalar curcature in \(S^n\). (Un caso particular del problema de prescribir la curvatura escalar en \(S^n\).) (Spanish. English summary) Zbl 1153.53304 Mat., Enseñ. Univ. (N.S.) 15, No. 1, 119-123 (2007). Summary: In this paper we exhibit a family of metrics which are conformal to the Euclidean metric on the unit sphere in \(\mathbb R^{n+1}\) and such that \(K=n(n-1)\) is its scalar curvature. To obtain this family we use stereographic projection, conformal transforms of dilatation and pullback of the metric. MSC: 53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature 53A05 Surfaces in Euclidean and related spaces 53A30 Conformal differential geometry (MSC2010) Keywords:conformal metric; scalar curvature; stereographic projection; pullback metric; conformal transformation PDFBibTeX XMLCite \textit{C. Granados Pinzón}, Mat., Enseñ. Univ. (N.S.) 15, No. 1, 119--123 (2007; Zbl 1153.53304)