Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on higher extremal metrics   In this paper we introduce higher extremal Kahler metrics. We provide an
example of the same on a minimal ruled surface. We also prove a perturbation
result that implies that there are non-trivial examples of higher constant
scalar curvature metrics, which are basically metrics where the top Chern form
is harmonic. We also give a relatively short proof of a formula due to Liu for
the Bando-Futaki invariants (which are obstructions for the existence of
harmonic Chern forms) of hypersurfaces in projective space.

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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int