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Codazzi normalized null hypersurfaces
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DOI：10.55730/1300-0098.3632.png)
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Abstract
En 中文
We introduce a class of null hypersurfaces of Lorentzian manifolds, namely Codazzi normalized null hyper-surfaces, whose (screen) shape operator associated with the rigged vector field is a Codazzi tensor. Several examples are given to support our study. Moreover, we investigate conditions implying that the induced Riemannian screen structure on a Codazzi-type normalized null hypersurface of a Lorentzian space is locally a nontrivial warped product.
Keywords:
Normalized null hypersurface
Codazzi tensor
rigged vector field
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