Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimal helix submanifolds and Minimal Riemannian foliations   We investigate minimal helix submanifolds of any dimension and codimension
immersed in Euclidean space. Our main result proves that a ruled minimal helix
submanifold is a cylinder. As an application we classify complex helix
submanifolds of $\mathbb{C}^n$: They are extrinsic products with a complex line
as a factor. The key tool is Corollary 1.3 which allows us to classify
Riemannian foliations of open subsets of the Euclidean space with minimal
leaves. Finally, we consider the case of a helix hypersurface with constant
mean curvature and prove that it is either a cylinder or an open part of a
hyperplane.

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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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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: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio