Article ID Journal Published Year Pages File Type
1894104 Journal of Geometry and Physics 2010 9 Pages PDF
Abstract

In a recent paper [C. Atindogbé, Scalar curvature on lightlike hypersurfaces, Appl. Sci. 11 (2009) 9–18], the present author considered the concept of extrinsic (induced) scalar curvature on lightlike hypersurfaces. This scalar quantity has been studied on lightlike hypersurfaces equipped with a given normalization. But a very important problem was left open: How to characterize the set of all normalizations admitting a prescribed extrinsic scalar curvature? In this paper, we provide various responses to this question, supported by examples.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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