Normalization and prescribed extrinsic scalar curvature on lightlike hypersurfaces |
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Authors: | C. Atindogbé |
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Affiliation: | Institut de Mathematiques et de Sciences Physiques, Université d’Abomey-Calavi, 01 BP 613 Porto-Novo, Bénin |
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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. |
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Keywords: | 53C20 53B30 53B50 |
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