Geometry of isoparametric null hypersurfaces of Lorentzian manifolds
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We define two types of null hypersurfaces as; isoparametric and quasi isoparametric null hypersurfaces of Lorentzian space forms, based on the two shape operators associated with a null hypersurface. We prove that; on any screen conformal isoparametric null hypersurface, the screen geodesics lie on circles in the ambient space. Furthermore, we prove that the screen distributions of isoparametric (or quasi-parametric) null hypersurfaces with at most two principal curvatures are generally Riemannian products. Several examples are also given to illustrate the main concepts.
2010 ◽
Vol 372
(1)
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pp. 244-251
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2014 ◽
Vol 418
(1)
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pp. 248-263
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2012 ◽
Vol 16
(3)
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pp. 1173-1203
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2021 ◽
pp. 2150125
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2001 ◽
Vol 16
(30)
◽
pp. 4845-4863
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2006 ◽
Vol 24
(3)
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pp. 551-563
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