$A^\nabla$-tensors on lightlike hypersurfaces

Details $A^\nabla$-tensors on lightlike hypersurfaces $A^\nabla$-tensors on lightlike hypersurfaces

2007-04-25

arxiv.org/abs/0704.3379v1

Mathematics

Differential Geometry

soumis

Scientific paper

This paper introduces $\anabla$-tensors on lightlike hypersurfaces $M^{n+1}$
of signature $(0,n)$, $(n\geq 1)$ and investigates on their properties in
connection with the null geometry of $M$. In particular, we show that there is
an interplay between existence of $\anabla$-tensors of certain type and
lightlike warped product structures.

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