Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the space of Kahler potentials   We consider the geodesic equation for the generalized Kahler potential with
only mixed second derivatives bounded. We show that given such two generalized
Kahler potentials, there is a unique geodesic segment such that for each point
on the geodesic, the generalized Kahler potential has uniformly bounded mixed
second derivatives (in manifold directions). This generalizes a fundamental
theorem of Chen \cite{Chen00} on the space of Kahler potentials.

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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
3
The categories of this paper are: physics
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The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn