Choi, Suhyoung Convex decompositions of real projective surfaces. I: \(\pi\)-annuli and convexity. (English) Zbl 0818.53042 J. Differ. Geom. 40, No. 1, 165-208 (1994). The author considers an orientable compact projective surface \(\Sigma\) with convex boundary and negative Euler characteristic. He supposes that \(\Sigma\) is not convex. He proves in his main result that there is a \(\pi\)-annulus \(\Lambda\) with a projective map \(\Phi: \Lambda\to \Sigma\). Reviewer: Fl.Gouli-Andreou (Thessaloniki) Cited in 4 ReviewsCited in 13 Documents MSC: 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) Keywords:convex decompositions; projective surface with convex boundary PDFBibTeX XMLCite \textit{S. Choi}, J. Differ. Geom. 40, No. 1, 165--208 (1994; Zbl 0818.53042) Full Text: DOI