Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weyl Curvature, Del Pezzo Surfaces, and Almost-Kaehler Geometry   If a smooth compact 4-manifold M admits a Kaehler-Einstein metric g of
positive scalar curvature, Gursky showed that its conformal class [g] is an
absolute minimizer of the Weyl functional among all conformal classes with
positive Yamabe constant. Here we prove that, with the same hypotheses, [g]
also minimizes of the Weyl functional on a different open set of conformal
classes, most of which have negative Yamabe constant. An analogous minimization
result is then proved for Einstein metrics g which are Hermitian, but not
Kaehler.

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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: cs
0
The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom