Maximal and Willmore Null Hypersurfaces in Generalized Robertson-Walker Spacetime

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AuteurATINDOGBE, COMLAN CYRIAQUE
AuteurHOUNNONKPE, RAYMOND
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2020
ResumeWe establish after some technical results a characterization of maximal null hypersurfaces in terms of a constant mean curvature screen foliation (in the slices) induced by the Chen’s vector field. Thereafter, bounds are provided for both the squared norm of the (screen) shape operator for non totally geodesic maximal null hypersurfaces and the scalar curvature of the fiber. In terms of the scalar curvature of the fiber and the warping function, we establish necessary and sufficient conditions for Null Convergence Condition (NCC) to be satisfied in which case we prove that there are no non totally geodesic maximal null hypersurfaces. A generic example consisting of graphs of functions defined on the fiber is given to support our results. Finally, we provide lower bounds for the extrinsic scalar curvature and give a characterization result for Willmore null hypersurfaces in generalized Robertson-Walker spacetimes
DOI10.33401/fujma.670266
Autre identifiantBECDB-10245
URIhttps://dspace.uac.bj/handle/123456789/9106
Languefr
Fait partie deFundamental Journal of Mathematics and Applications
SujetGeneralized Robertson
SujetWalker spacetimes
SujetMaximal null hyper
Sujetsurface
SujetWillmore null hypersurface
TitreMaximal and Willmore Null Hypersurfaces in Generalized Robertson-Walker Spacetime
TypeArticle

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