Barbosa, J. L.; Birbrair, L.; do Carmo, M.; Fernandes, A. Globally subanalytic CMC surfaces in \(\mathbb{R}^3\). (English) Zbl 1407.32002 Electron. Res. Announc. Math. Sci. 21, 186-192 (2014). Summary: We prove that globally subanalytic nonsingular CMC surfaces of \(\mathbb R^3\) are only planes, round spheres, or right circular cylinders. Cited in 2 Documents MSC: 32B20 Semi-analytic sets, subanalytic sets, and generalizations 53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) 53C21 Methods of global Riemannian geometry, including PDE methods; curvature restrictions PDFBibTeX XMLCite \textit{J. L. Barbosa} et al., Electron. Res. Announc. Math. Sci. 21, 186--192 (2014; Zbl 1407.32002) Full Text: DOI arXiv