Abstract
Rigging technique introduced in Gutiérrez and Olea (Math Nachr 289:1219–1236, 2016) is a convenient way to address the study of null hypersurfaces. It offers, in addition, the extra benefit of inducing a Riemannian structure on the null hypersurface which is used to study geometric and topological properties on it. In this paper, we develop this technique showing new properties and applications. We first discuss the very existence of the rigging fields under prescribed geometric and topological constraints. We consider the completeness of the induced rigged Riemannian structure. This is potentially important, because it allows to use most of the usual Riemannian techniques.
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01 November 2018
There is a mistake in the last subsection (5.3 Totally geodesic null hypersurfaces in Robertson–Walker spaces) of the paper [1]
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The second and third authors have been partially supported by an FEDER-MTM2016-78647-P grant. The third author has been partially supported by a CEA-SMA grant.
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Atindogbe, C., Gutiérrez, M. & Hounnonkpe, R. New Properties on Normalized Null Hypersurfaces. Mediterr. J. Math. 15, 166 (2018). https://doi.org/10.1007/s00009-018-1210-0
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DOI: https://doi.org/10.1007/s00009-018-1210-0