Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homogeneous Hermitian manifolds and special metrics   We consider non-Kaehler compact complex manifolds which are homogeneous under
the action of a compact Lie group of biholomorphisms and we investigate the
existence of special (invariant) Hermitian metrics on these spaces. We focus on
a particular class of such manifolds comprising the case of Calabi-Eckmann
manifolds and we prove the existence of an invariant Hermitian metric which is
Chern-Einstein, namely whose second Ricci tensor of the associated Chern
connection is a positive multiple of the metric itself. The uniqueness is also
discussed.

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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex