Sotomayor, J. Closed lines of curvature for Weingarten immersions. (English) Zbl 0638.05035 Ann. Global Anal. Geom. 5, No. 1, 83-86 (1987). It is shown that the closed principal curvature lines of a Weingarten surface cover an open set. Reviewer: G.Thorbergsson MSC: 53A05 Surfaces in Euclidean and related spaces Keywords:closed principal curvature lines; Weingarten surface PDF BibTeX XML Cite \textit{J. Sotomayor}, Ann. Global Anal. Geom. 5, No. 1, 83--86 (1987; Zbl 0638.05035) Full Text: DOI OpenURL References: [1] Darboux, G.: Théorie Génerale des Surfaces, Chelsea Pub. Co. 1972. 1 ? Vol. IV, Note 7 2 ? Vol. III, Ch. VII [2] Gutierrez, C. and Sotomayor, J.: Structurally stable Configurations of Lines of Curvature, Asterisque, 98-99, 1982. [3] Gutierrez, C. and Sotomayor, J.: Principal Lines on Surfaces Immersed with Constant Mean Curvature, Trans. Amer. Math. Soc.239 (1986), 2. · Zbl 0611.53007 [4] Hartman, P. and Wïnter, A.: Umbilical Points and W-Surfaces. Amer. J. Math.76 (1954). [5] [Hp] Hopf, H.: Lectures on Differential Geometry in the Large. Springer Lect. Notes in Math. 1000; 1983. [6] [St] Struik, D.: Lectures on Classical Differential Geometry. Addison Wesley, 1950. · Zbl 0041.48603 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.