|
|
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 7, Pages 34–43
(Mi ivm9132)
|
|
|
|
This article is cited in 2 scientific papers (total in 2 papers)
Hermitian $f$-structures on $6$-dimensional filiform Lie groups
P. A. Dubovik Belarussian State University, 4 Nezavisimosti Ave., Minsk, 220030 Republic of Belarus
Abstract:
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, filiform Lie group.
Received: 14.12.2014
Citation:
P. A. Dubovik, “Hermitian $f$-structures on $6$-dimensional filiform Lie groups”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 7, 34–43; Russian Math. (Iz. VUZ), 60:7 (2016), 29–36
Linking options:
https://www.mathnet.ru/eng/ivm9132 https://www.mathnet.ru/eng/ivm/y2016/i7/p34
|
|