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

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  • Matias Navarro
  • Oscar Palmas
  • Didier A. Solis

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.

Suggested Citation

  • Matias Navarro & Oscar Palmas & Didier A. Solis, 2020. "Null screen quasi‐conformal hypersurfaces in semi‐Riemannian manifolds and applications," Mathematische Nachrichten, Wiley Blackwell, vol. 293(8), pages 1534-1553, August.
    • Handle: RePEc:bla:mathna:v:293:y:2020:i:8:p:1534-1553
    DOI: 10.1002/mana.201800494
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