5 papers
Codimension two spacelike submanifolds into null hypersurfaces of generalized Robertson-Walker spacetimes
Luis J. Alias, Josue Melendez, Matias Navarro +1
We study codimension two spacelike submanifolds contained into a general class of null hypersurfaces in generalized Robertson-Walker spacetimes, refer to as nullcones. In particula…
Constant angle null hypersurfaces
Samuel Chable-Naal, Matias Navarro, Didier A Solis
In this work we introduce the notion of constant angle null hypersurface of a Lorentzian manifold with respect to a given ambient vector field. We analyze the case in which the vec…
Principal configurations around umbilics of spacelike surfaces in null hypersurfaces of
Matias Navarro, Oscar Palmas, Didier A. Solis
We study the principal configurations around an isolated -umbilical point on a generic spacelike surface immersed in a null hypersurface of Minkowski space $\mathbb{R}_1…
Null screen quasi-conformal hypersurfaces in semi-Riemannian manifolds and applications
Matias Navarro, Oscar Palmas, Didier Solis
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 sc…
Null screen isoparametric hypersurfaces in Lorentzian space forms
Matias Navarro, Oscar Palmas, Didier Solis
In this paper we develop the notion of screen isoparametric hypersurface for null hypersurfaces of Robertson-Walker spacetimes. Using this formalism we derive Cartan identities for…