Zobrazeno 1 - 10
of 116
pro vyhledávání: '"32C10"'
Autor:
Sferruzza, Tommaso, Tomassini, Adriano
We provide families of compact astheno-K\"ahler nilmanifolds and we study the behaviour of the complex blowup of such manifolds. We prove that the existence of an astheno-K\"ahler metric satisfying an extra differential condition is not preserved by
Externí odkaz:
http://arxiv.org/abs/2206.06904
Autor:
LeBrun, Claude
Building on previous results, we complete the classification of compact oriented Einstein 4-manifolds with det (W^+) > 0. There are, up to diffeomorphism, exactly 15 manifolds that carry such metrics, and, on each of these manifolds, such metrics swe
Externí odkaz:
http://arxiv.org/abs/2007.01180
Publikováno v:
Internat. J. Math. 26 (2015), no. 12, 1550105
In this paper, the concept of balanced manifolds is generalized to reduced complex spaces: the class B and balanced spaces. Compared with the case of Kahlerian, the class B is similar to the Fujiki class C and the balanced space is similar to the Kah
Externí odkaz:
http://arxiv.org/abs/1810.11318
In this paper, we investigate the geometry of the moduli space of curves by using the curvature properties of direct image sheaves of vector bundles. We show that the moduli space $(M_g, \omega_{WP})$ of curves with genus $g>1$ has dual-Nakano negati
Externí odkaz:
http://arxiv.org/abs/1312.6932
Autor:
Huckleberry, Alan, Isaev, Alexander
We consider complex manifolds that admit actions by holomorphic transformations of classical simple real Lie groups and classify all such manifolds in a natural situation. Under our assumptions, which require the group at hand to be dimension-theoret
Externí odkaz:
http://arxiv.org/abs/0901.4280
Autor:
Fino, Anna, Tomassini, Adriano
We study a special type of almost complex structures, called pure and full and introduced by T.J. Li and W. Zhang, in relation to symplectic structures and Hard Lefschetz condition. We provide sufficient conditions to the existence of the above type
Externí odkaz:
http://arxiv.org/abs/0811.4765
We study the intrinsic geometrical structure of hypersurfaces in 6-manifolds carrying a balanced Hermitian SU(3)-structure, which we call {\em balanced} SU(2)-{\em structures}. We provide conditions which imply that such a 5-manifold can be isometric
Externí odkaz:
http://arxiv.org/abs/0808.1201
Autor:
Fino, Anna, Tomassini, Adriano
A Hermitian metric on a complex manifold of complex dimension $n$ is called {\em astheno-K\"ahler} if its fundamental $2$-form $F$ satisfies the condition $\partial \overline \partial F^{n - 2} =0$. If $n =3$, then the metric is {\em strong KT}, i.e.
Externí odkaz:
http://arxiv.org/abs/0806.0735
Autor:
Rollenske, Sönke
We show that the deformation space of complex parallelisable nilmanifolds can be described by polynomial equations but is almost never smooth. This is remarkable since these manifolds have trivial canonical bundle and are holomorphic symplectic in ev
Externí odkaz:
http://arxiv.org/abs/0803.2048
It was shown by Samelson and Wang that each compact Lie group K of even dimension admits left-invariant complex structures. When K has odd dimension it admits a left-invariant CR-structure of maximal dimension. This has been proved recently by Charbo
Externí odkaz:
http://arxiv.org/abs/math/0610915