Abstract and Applied Analysis

Lightlike Hypersurfaces and Canal Hypersurfaces of Lorentzian Surfaces

Jianguo Sun and Donghe Pei

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The lightlike hypersurfaces in semi-Euclidean space are of special interest in Relativity Theory. In particular, the singularities of these lightlike hypersurfaces provide good models for the study of different horizon types. And we obtain some geometrical propositions of the canal hypersurfaces of Lorentzian surfaces. We introduce the notions of flatness for these hypersurfaces and study their singularities.

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Abstr. Appl. Anal., Volume 2014 (2014), Article ID 817154, 10 pages.

First available in Project Euclid: 2 October 2014

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Sun, Jianguo; Pei, Donghe. Lightlike Hypersurfaces and Canal Hypersurfaces of Lorentzian Surfaces. Abstr. Appl. Anal. 2014 (2014), Article ID 817154, 10 pages. doi:10.1155/2014/817154. https://projecteuclid.org/euclid.aaa/1412277020

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