×

On the second kind twisted surfaces in Minkowski 3-space. (English) Zbl 1328.53021

Summary: In this paper, we introduce the notion of the second kind twisted surfaces in Minkowski 3-space. We classify all non-degenerate second kind twisted surfaces in terms of flat, minimal, constant Gaussian and constant mean curvature surfaces, with respect to a chosen light-like transversal bundle.
We also prove that a light-like second kind twisted surfaces, with respect to a chosen light-like transversal vector bundle, are the lightcones, the lightlike binormal surfaces over pseudo null base curves and the light-like ruled surfaces with null rulings whose base curve lies on the lightcone.

MSC:

53B25 Local submanifolds
53B30 Local differential geometry of Lorentz metrics, indefinite metrics
53A35 Non-Euclidean differential geometry
PDFBibTeX XMLCite