Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariant metric $f$-structures on specific homogeneous reductive spaces   For homogeneous reductive spaces G/H with reductive complements decomposable
into an orthogonal sum \mathfrak{m}=\mathfrak{m}_1 \oplus \mathfrak{m}_2 \oplus
\mathfrak{m}_3 of three Ad(H)-invariant irreducible mutually inequivalent
submodules we establish simple conditions under which an invariant metric
f-structure (f,g) belongs to the classes G_1 f, NKf, and Kill f of generalized
Hermitian geometry. The statements obtained are then illustrated with four
examples. Namely we consider invariant metric f-structures on the manifolds of
oriented flags SO(n)/SO(2)\times SO(n-3) (n>=4), the Stiefel manifold
SO(4)/SO(2), the complex flag manifold SU(3)/T_{max}, and the quaternionic flag
manifold Sp(3)/SU(2)\times SU(2)\times SU(2).

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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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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: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph