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      Geometry of isoparametric null hypersurfaces of Lorentzian manifolds

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      Center for Open Science

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          Abstract

          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.

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          Author and article information

          Journal
          Center for Open Science
          January 31 2019
          Article
          10.31730/osf.io/htfj7
          © 2019

          https://creativecommons.org/licenses/by/4.0/legalcode

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          Self URI (article page): https://osf.io/htfj7

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