Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Special homogeneous almost complex structures on symplectic manifolds   Homogeneous compatible almost complex structures on symplectic manifolds are
studied, focusing on those which are special, meaning that their Chern-Ricci
form is a multiple of the symplectic form. Non Chern-Ricci flat ones are proven
to be covered by co-adjoint orbits. Conversely, compact isotropy co-adjoint
orbits of semi-simple Lie groups are shown to admit special compatible almost
complex structures whenever they satisfy a necessary topological condition.
Some classes of examples including twistor spaces of hyperbolic manifolds and
discrete quotients of Griffiths period domains of weight two are discussed.

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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio