Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constant Mean Curvature Hypersurfaces Condensing to Geodesic Segments
  and Rays in Riemannian Manifolds   We construct examples of compact and one-ended constant mean curvature
surfaces with large mean curvature in Riemannian manifolds with axial symmetry
by gluing together small spheres positioned end-to-end along a geodesic. Such
surfaces cannot exist in Euclidean space, but we show that the gradient of the
ambient scalar curvature acts as a `friction term' which permits the usual
analytic gluing construction to be carried out.

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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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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: ao-sci
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The categories of this paper are: nucl-ex