9 citations · 23 across the 11 of their papers we have counts for
12 papers
On left-invariant semi-Kähler structures on six-dimensional nilpotent nonsymplectic Lie groups
N. K. Smolentsev, K. V. Chernova
It is known that there are 34 classes of six-dimensional nilpotent Lie groups, many of which admit left-invariant symplectic and complex structures. Among them there are three clas…
Left-invariant almost para-Kähler structures on six-dimensional nilpotent Lie groups
Nikolay K. Smolentsev
In this paper, we consider left-invariant para-complex structures on six-dimensional nilpotent Lie groups. A complete list of six-dimensional nilpotent Lie groups that admit para-K…
On the classification of left-invariant para-Kähler structures on four-dimensional Lie groups
N. K. Smolentsev, I. Y. Shagabudinova
A first classification of para-Kähler structures on four-dimensional Lie algebras was obtained by D. Calvaruzo in 2015. In this paper, we propose another classification based on th…
Almost complex and almost para-complex Cayley structures on six-dimensional pseudo-Riemannian spheres
N. K. Smolentsev
In this paper we study almost complex and almost para-complex Cayley structures on six-dimensional pseudo-Riemannian spheres in the space of purely imaginary octaves of the split C…
Left-invariant almost para-complex structures on six-dimensional nilpotent Lie groups
Nikolay K. Smolentsev
There are five six-dimensional nilpotent Lie groups G, which do not admit neither symplectic, nor complex structures and, therefore, can be neither almost pseudo-Kahler, nor almost…
Invariant pseudo-Sasakian and -contact structures on seven-dimensional nilpotent Lie groups
Nikolay K. Smolentsev
We study the question of the existence of left-invariant Sasaki contact structures on the seven-dimensional nilpotent Lie groups. It is shown that the only Lie group allowing Sasak…