Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A remark on compact hypersurfaces with constant mean curvature in space
  forms   In this note we characterize compact hypersurfaces of dimension $n\geq 2$
with constant mean curvature $H$ immersed in space forms of constant curvature
and satisfying an optimal integral pinching condition: they are either totally
umbilical or, when $n\geq 3$ and $H\neq 0$, they are locally contained in a
rotational hypersurface. In dimension two, the integral pinching condition
reduces to a topological assumption and we recover the classical Hopf-Chern
result.

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The categories of this paper are: nucl-th
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The categories of this paper are: cs
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
10
The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat