Sağlam, Derya; Boyacıoğlu Kalkan, Özgür The Euler theorem and Dupin indicatrix for surfaces at a constant distance from edge of regression on a surface in \(E_1^3\). (English) Zbl 1313.53082 Mat. Vesn. 65, No. 2, 242-249 (2013). The authors consider a surface \(M^f\) at a constant distance from the edge of regression on a surface \(M\) in the Minkowski \(3\)-space \(E^3_1\). Using the notions of hyperbolic angle and normal curvature, they give the Euler theorem for the surface \(M^f\) in \(E^3_1\). They show that the Dupin indicatrix of \(M^f\) can be an ellipse, two conjugate hyperbolas, or two parallel lines. Reviewer: Emilija Nešović (Kragujevac) MSC: 53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics 53B30 Local differential geometry of Lorentz metrics, indefinite metrics Keywords:Euler theorem PDFBibTeX XMLCite \textit{D. Sağlam} and \textit{Ö. Boyacıoğlu Kalkan}, Mat. Vesn. 65, No. 2, 242--249 (2013; Zbl 1313.53082)