Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Biharmonic maps between doubly warped product manifolds   In this paper biharmonic maps between doubly warped product manifolds are
studied. We show that the inclusion maps of Riemannian manifolds $B$ and $F$
into the doubly warped product $_{f}B\times_{b}F$ can not be proper biharmonic
maps. Also we analyze the conditions for the biharmonicity of projections
$_{f}B\times_{b}F\to B$ and $_{f}B\times_{b}F\to F$, respectively. Some
characterizations for non-harmonic biharmonic maps are given by using product
of harmonic maps and warping metric. Specially, in the case of $f=1$, the
results for warped product in \cite{Balmus-mont} are obtained.

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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
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The categories of this paper are: econ
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an