N. Daurtseva

activity

20022015

most citedOn the space of almost complex structures

3 citations · 5 across the 8 of their papers we have counts for

collaborators

8 papers

math.DG2015

Cayley structures on $S^{6}$ as a twistor bundle sections

N. A. Daurtseva

The nearly Kähler structures on the 6-sphere, as a twistor bundle sections are researched. We show that for any point of twistor bundle there exists an 1-parametric family of secti…

math.DG2013

About integrability of almost complex structures on strictly Nearly Kähler 6-manifolds

Natalia Daurtseva

We show that any almost complex structure, positively tamed with $ω$ on nearly Kähler 6-manifold $(M, g, J, ω)$ is not integrable

math.DG2012

The space of leftinvariant orthogonal almost complex structures on 6-dimensional Lie groups

Natalia Daurtseva

The space $Z$ of leftinvariant orthogonal almost complex structures, keeping the orientation, on 6-dimensional Lie groups is researched. To get explicit view of this spac…

math.DG2010

Dual left-invariant almost complex structures on the $S U (2) \times S U (2)$

N. A. Daurtseva

There exist non-degenerate 3-form $d ω_{I}$ , $ω_{I} (X, Y) = g (I X, Y)$ , for each leftinvariant almost Hermitian structure $(g, I)$ , where $g$ is Killing-Cartan metric on the $M=S^3\times S^3=…

math.DG2006★ 1 cited

Left-invariant almost nearly Kähler structures on $S U (2) \times S U (2)$ in the tetrahedron visualization for $C P^{3}$

Natalia Daurtseva

The set of maximal non-integrable structures $(S U (2) \times S U (2), B, I)$ , where $B$ is Killing-Cartan metric is described as subset of $CP^{3}$ . The visualization of complex p…

math.DG2003★ 1 cited

$U (n + 1) \times U (p + 1)$ - invariant Hermitian metrics with Hermitian tensor Ricci on the manifold $S^{2 n + 1} \times S^{2 p + 1}$

N. A. Daurtseva

Invariant complex structures on the homogeneous manifold $U (n + 1) / U (n) \times U (p + 1) / U (p)$ are reseached. The critical point of the functional of the scalar curvature is found.

Cayley structures on S6 as a twistor bundle sections

About integrability of almost complex structures on strictly Nearly Kähler 6-manifolds

The space of leftinvariant orthogonal almost complex structures on 6-dimensional Lie groups

Dual left-invariant almost complex structures on the SU(2)×SU(2)

Left-invariant almost nearly Kähler structures on SU(2)×SU(2) in the tetrahedron visualization for CP3

U(n+1)×U(p+1) - invariant Hermitian metrics with Hermitian tensor Ricci on the manifold S2n+1×S2p+1

Cayley structures on $S^{6}$ as a twistor bundle sections

Dual left-invariant almost complex structures on the $S U (2) \times S U (2)$

Left-invariant almost nearly Kähler structures on $S U (2) \times S U (2)$ in the tetrahedron visualization for $C P^{3}$

$U (n + 1) \times U (p + 1)$ - invariant Hermitian metrics with Hermitian tensor Ricci on the manifold $S^{2 n + 1} \times S^{2 p + 1}$