Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimal hypersurfaces with zero Gauss-Kronecker curvature   We investigate complete minimal hypersurfaces in the Euclidean space $% \
{R}^{4}$, with Gauss-Kronecker curvature identically zero. We prove that, if
$f:M^{3}\to {R}^{4}$ is a complete minimal hypersurface with Gauss-Kronecker
curvature identically zero, nowhere vanishing second fundamental form and
scalar curvature bounded from below, then $f(M^{3})$ splits as a Euclidean
product $L^{2}\times {R}$, where $L^{2}$ is a complete minimal surface in $
{R}^{3}$ with Gaussian curvature bounded from below.

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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th