2021-07-062021-07-062007Alencar, H., Carmo, M.d., Fernández Delgado, I. y Tribuzy, R. (2007). A theorem of H. Hopf and the Cauchy-Riemann inequality II. Bulletin of the Brazilian Mathematical Society, 38 (4), 525-532.1678-7544https://hdl.handle.net/11441/115204This is a sequel to “A theorem of H. Hopf and the Cauchy-Riemann inequality” [AdCT]. Here the result of the previous paper is extended (see the precise statement in Section 1 of the present paper) to surfaces in three-dimensional homogeneous Riemannian manifolds whose group of isometries has dimension four and the bundle curvature is nonzero, whereas in the previous paper only the case of vanishing bundle curvature was treated.application/pdf8engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Mean curvatureGenus zero surfaceHopf’s quadratic formCauchy- Riemann inequalityinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1007/s00574-007-0058-x6603294