Geodesic
Hermitian $f$-structures on $6$-dimensional filiform Lie groups
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2016), pp. 34-43

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We consider left-invariant $f$-structures on $6$-dimensional filiform Lie groups. We indicate some sufficient conditions under which the special left-invariant $f$-structures on these Lie groups belong to the class of Hermitian $f$-structures. We also present particular examples of the corresponding $f$-structures.
Keywords: metric $f$-structure, left-invariant $f$-structure, the Levi-Civita connection, nilpotent Lie algebra, Hermitian $f$-structure
Mots-clés : filiform Lie group. 
@article{IVM_2016_7_a4,
     author = {P. A. Dubovik},
     title = {Hermitian $f$-structures on $6$-dimensional filiform {Lie} groups},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {34--43},
     publisher = {mathdoc},
     number = {7},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_7_a4/}
}
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P. A. Dubovik. Hermitian $f$-structures on $6$-dimensional filiform Lie groups. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2016), pp. 34-43. http://geodesic.mathdoc.fr/item/IVM_2016_7_a4/