Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Ocean Drum: quasi-geostrophic energetics from a Riemann geometry
  perspective   We revisit the discussion of the energetics of quasi-geostrophic flows from a
geometric perspective based on the introduction of an effective metric, built
in terms of the flow stratification and the Coriolis parameter. In particular,
an appropriate notion of normal modes is defined through a spectral geometry
problem in the ocean basin (a compact manifold with boundary) for the
associated Laplace-Beltrami scalar operator. This spectral problem can be used
to systematically encode non-local aspects of stratification and topography. As
examples of applications we revisit the isotropy assumption in geostrophic
turbulence, identify (a patch of) the hyperbolic space $\mathbb{H}^3$ as the
leading-order term in the effective geometry for the deep mesoscale ocean and,
finally, discuss some diagnostic tools based on a simple statistical mechanics
toy-model to be used in numerical simulations and/or observations of
quasi-geostrophic flows.

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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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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: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: econ