Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Curvature estimates for stable marginally trapped surfaces   We derive integral and sup-estimates for the curvature of stably marginally
outer trapped surfaces in a sliced space-time. The estimates bound the shear of
a marginally outer trapped surface in terms of the intrinsic and extrinsic
curvature of a slice containing the surface. These estimates are well adapted
to situations of physical insterest, such as dynamical horizons.

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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas