Null screen quasi-conformal hypersurfaces in semi-Riemannian manifolds and applications

Matias Navarro; Oscar Palmas; Didier Solis

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arXiv · 1810.03735

Null screen quasi-conformal hypersurfaces in semi-Riemannian manifolds and applications

Matias Navarro·Oscar Palmas·Didier Solis

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Abstract

We introduce a class of null hypersurfaces of a semi-Riemannian manifold, namely, screen quasi-conformal hypersurfaces, whose geometry may be studied through the geometry of its screen distribution. In particular, this notion allows us to extend some results of previous works to the case in which the sectional curvature of the ambient space is different from zero. As applications, we study umbilical, isoparametric and Einstein null hypersurfaces in Lorentzian space forms and provide several classification results.

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BibTeX RIS

Matias Navarro, Oscar Palmas, Didier Solis. 2018-10-08. Null screen quasi-conformal hypersurfaces in semi-Riemannian manifolds and applications. https://arxiv.org/abs/1810.03735

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