Normalization and prescribed extrinsic scalar curvature on lightlike hypersurfaces

JOURNAL OF GEOMETRY AND PHYSICS

卷:60

Article

Atindogbe, C.

关键词: Lightlike hypersurface;    Normalization;    Extrinsic scalar curvature;   

DOI  :  10.1016/j.geomphys.2010.06.018

来源: Elsevier

【 摘 要 】

In a recent paper [C. Atindogbe, 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. (c) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

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