Singularities of Null Hypersurfaces of Pseudonull Curves. (31st March 2015)

• Record Type: Journal Article
• Authors: Cui, Xiupeng; Pei, Donghe
• Other Names: Leiva Hugo Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2015(2015)
• Publication Date: 2015-03-31
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2015/502789
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : The main goal of this paper is to study the singularities of null hypersurfaces of pseudonull curves. To do this we construct a null frame and a Lorentz distance-squared function of the pseudonull curve. The relations are shown between singularities of the null hypersurfaces and those, of the Lorentz distance-squared function. And we reveal the geometric meanings of the singularities of such hypersurfaces. In addition, we also introduce some properties of the nullcone Gaussian surface of the pseudonull curve.