Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal semi-invariant $\xi ^{\perp }$-submersions from almost contact
  metric manifolds   The purpose of the present paper is to introduce the conformal semi-invariant
$\xi ^{\perp }$-Riemannian submersions from almost contact metric manifolds
onto Riemannian manifolds as a generalization of anti-invariant submersions,
semi-invariant submersions, anti-invariant $\xi ^{\perp }$-submersions,
semi-invariant $\xi ^{\perp }$% -submersions, conformal anti-invariant $\xi
^{\perp }$-submersions, conformal semi-invariant submersions. We obtain
characterizations and investigate the integrability of distributions which are
arisen from the definition of conformal semi-invariant $\xi ^{\perp
}$-Riemannian submersions. We find out the necessary and sufficient conditions
for a conformal semi-invariant $\xi ^{\perp }$-Riemannian submersions to be
totally geodesic and harmonic. Finally, examples are also given for conformal
semi-invariant submersions with horizontal Reeb vector field.

35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
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The categories of this paper are: ao-sci
18
The categories of this paper are: econ
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The categories of this paper are: stat
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
3
The categories of this paper are: physics
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The categories of this paper are: dg-ga