Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal anti-invariant $\xi^\perp-$submersions   As a generalization of anti-invariant $\xi^\perp-$Riemannian submersions, we
introduce conformal anti-invariant $\xi^\perp-$submersions from almost contact
metric manifolds onto Riemannian manifolds. We investigate the geometry of
foliations which are arisen from the definition of a conformal submersion and
find necessary and sufficient conditions for a conformal anti-invariant
$\xi^\perp-$submersion to be totally geodesic and harmonic, respectively.
Moreover, we show that there are certain product structures on the total space
of a conformal anti-invariant $\xi^\perp-$submersion.

15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex