Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Almost {\alpha}-Paracosymplectic Manifolds   This paper is a complete study of almost {\alpha}-paracosmplectic manifolds.
We characterize almost {\alpha}-paracosmplectic manifolds which have para
Kaehler leaves. Main curvature identities which are fulfilled by any almost
{\alpha}-paracosmplectic manifold are found. We also proved that {\xi} is a
harmonic vector field if and only if it is an eigen vector field of the Ricci
operator. We locally classify three dimensional almost {\alpha}-para-Kenmotsu
manifolds satisfying a certain nullity condition. We show that this condition
is invariant under D_{{\gamma},{\beta}}-homothetic deformation. Furthermore, we
construct examples of almost {\alpha}-paracosmplectic manifolds satisfying
generalized nullity conditions

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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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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: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org