Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Biminimal properly immersed submanifolds in the Euclidean spaces   We consider a complete nonnegative biminimal submanifold M (that is, a
complete biminimal submanifold with lambda>=0) in a Euclidean space E^N. Assume
that the immersion is proper, that is, the preimage of every compact set in E^N
is also compact in M. Then, we prove that M is minimal. From this result, we
give an affirmative partial answer to Chen's conjecture. For the case of
lambda<0, we construct examples of biminimal submanifolds and curves.

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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th