Constant angle null hypersurfaces
Differential Geometry
2023-03-07 v1 Mathematical Physics
math.MP
Abstract
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 vector field is closed and conformal, thus finding that such null hypersurfaces have a canonical principal direction. We further provide some classification results for constant angle null surfaces with vanishing null mean curvature.
Cite
@article{arxiv.2303.02531,
title = {Constant angle null hypersurfaces},
author = {Samuel Chable-Naal and Matias Navarro and Didier A Solis},
journal= {arXiv preprint arXiv:2303.02531},
year = {2023}
}
Comments
23 pages, 2 figures