Article ID Journal Published Year Pages File Type
6419607 Journal of Mathematical Analysis and Applications 2011 14 Pages PDF
Abstract

We solve the Björling problem for timelike surfaces in the Lorentz-Minkowski space through a split-complex representation formula obtained for this kind of surface. Our approach uses the split-complex numbers and natural split-holomorphic extensions. As applications, we show that the minimal timelike surfaces of revolution as well as minimal ruled timelike surfaces can be characterized as solutions of certain adequate Björling problems in the Lorentz-Minkowski space.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
, , ,