Geodesic
Nearly K\"ahler and Hermitian $f$-structures on homogeneous $\Phi$-spaces of order~6
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2011), pp. 89-98

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In this paper we consider the canonical $f$-structures on arbitrary naturally reductive homogeneous $\Phi$-spaces of order 6. We obtain the necessary and sufficient conditions under which these structures belong to classes of a generalized Hermitian geometry such as nearly Kähler and Hermitian $f$-structures.
Keywords: naturally reductive space, generalized Hermitian geometry, homogeneous periodic $\Phi$-space, generalized symmetric space, canonical $f$-structure.
Mots-clés : invariant $f$-structure 
@article{IVM_2011_4_a8,
     author = {A. S. Samsonov},
     title = {Nearly {K\"ahler} and {Hermitian} $f$-structures on homogeneous $\Phi$-spaces of order~6},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {89--98},
     publisher = {mathdoc},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_4_a8/}
}
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A. S. Samsonov. Nearly K\"ahler and Hermitian $f$-structures on homogeneous $\Phi$-spaces of order~6. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2011), pp. 89-98. http://geodesic.mathdoc.fr/item/IVM_2011_4_a8/