Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Remarks on the Donaldson metric   The Donaldson metric is a metric on the space of symplectic two-forms in a
fixed cohomology class. It was introduced in [2]. We compute the associated
Levi-Civita connection, describe it's geodesics and compute the formula for the
covariant Hessian of an energy functional on the space of symplectic structures
in a fixed cohomology class, introduced by S.Donaldson in [1].

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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn