A local structure of null hypersurfaces of $\mathbb{R}

Ssekajja, Samuel2024-03-212024-03-212019-02-25https://doi.org/10.31730/osf.io/yk8vfhttps://africarxiv.ubuntunet.net/handle/1/1198https://doi.org/10.60763/africarxiv/1150https://doi.org/10.60763/africarxiv/1150https://doi.org/10.60763/africarxiv/1150In the present paper, we characterize constant mean curvature and scalar curvature null hypersurfaces of $\mathbb{R}_{1}^{n+1}$. Locally, such hypersurfaces are a product of a null curve and generalized cylinders.Isoparametric null hypersurfacesNull hypersurfacesScreen conformal hypersurfacesA local structure of null hypersurfaces of $\mathbb{R}_{1}^{n+1}$