Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Einstein-Weyl structures on lightike hypersurfaces   We study Weyl structures on lightlikes hypersurfaces endowed with a conformal
structure of certain type and specific screen distribution: the Weyl screen
structures. We investigate various differential geometric properties of
Einstein-Weyl screen structures on lightlike hypersurfaces and show that, for
ambiant Lorentzian space $\mathbb{R}^{n+2}_{1}$ and a totally umbilical screen
foliation, there is a strong interplay with the induced (Riemannian)
Weyl-structure on the leaves. Finally, we establish necessary and sufficient
conditions for a Weyl structure defined by the $1-$form of an almost contact
structure given by an additional complex structure in case of an ambiant
Kaehler manifold to be closed.

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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph