Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A short note on biharmonic submanifolds in non-Sasakian contact metric
  3-manifolds   We characterize biharmonic anti-invariant surfaces in $3$-dimensional
generalized $(\kappa, \mu)$-manifolds with non-zero constant mean curvature by
means of the scalar curvature of the ambient space and the mean curvature. In
addition, we give a method for constructing infinity many examples of
biharmonic submanifolds in a certain $3$-dimensional generalized $(\kappa,
\mu)$-manifold. Moreover, we determine $3$-dimensional generalized $(\kappa,
\mu)$-manifolds which admit a certain kind of proper biharmonic foliation.

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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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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: cond-mat