Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geodesic orbit spaces of compact Lie groups of rank two   Geodesic orbit spaces are those Riemannian homogeneous spaces (G/H,g) whose
geodesics are orbits of one-parameter subgroups of G. We classify the simply
connected geodesic orbit spaces where G is a compact Lie group of rank two. We
prove that the only such spaces for which the metric g is not induced from a
bi-invariant metric on G are certain spheres and projective spaces, endowed
with metrics induced from Hopf fibrations.

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The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat