Singularities for Timelike Developable Surfaces in Minkowski 3-Space
Yanlin Li, Zhizhi Chen, Sahar H. Nazra, Rashad A. Abdel-Baky
Abstract
In this paper, we consider the singularities and geometrical properties of timelike developable surfaces with Bishop frame in Minkowski 3-space. Taking advantage of the singularity theory, we give the classification of generic singularities of these developable surfaces. Furthermore, an example of application is given to illustrate the applications of the results.
Topics & Concepts
Minkowski spaceDevelopable surfaceGravitational singularitySingularityMathematicsSpace (punctuation)Pure mathematicsRuled surfaceGeometryMathematical analysisSurface (topology)Computer scienceOperating systemGeometric Analysis and Curvature FlowsMathematics and ApplicationsAdvanced Differential Geometry Research