Results 1 to 10 of about 28 (28)

Kobayashi—Hitchin correspondence for twisted vector bundles

Complex Manifolds, 2021
We prove the Kobayashi—Hitchin correspondence and the approximate Kobayashi—Hitchin correspondence for twisted holomorphic vector bundles on compact Kähler manifolds.
Perego Arvid
doaj   +1 more source

Hyperkähler geometry of rational curves in twistor spaces

Complex Manifolds, 2022
We investigate the pseudo-hyperkähler geometry of higher degree rational curves in the twistor space of a hyperkähler 4-manifold.
Bielawski Roger, Zhang Naizhen
doaj   +1 more source

Generalized almost even-Clifford manifolds and their twistor spaces

Complex Manifolds, 2021
Motivated by the recent interest in even-Clifford structures and in generalized complex and quaternionic geometries, we introduce the notion of generalized almost even-Clifford structure. We generalize the Arizmendi-Hadfield twistor space construction on
Hernández-Moguel Luis Fernando, Herrera Rafael   +1 more
doaj   +1 more source

Differential geometry of Hilbert schemes of curves in a projective space

Complex Manifolds, 2019
We describe the natural geometry of Hilbert schemes of curves in ℙ3and, in some cases, in ℙn, n ≥ 4.
Bielawski Roger, Peternell Carolin
doaj   +1 more source

The Adjunction Inequality for Weyl-Harmonic Maps

Complex Manifolds, 2020
In this paper we study an analog of minimal surfaces called Weyl-minimal surfaces in conformal manifolds with a Weyl connection (M4, c, D). We show that there is an Eells-Salamon type correspondence between nonvertical 𝒥-holomorphic curves in the ...
Ream Robert
doaj   +1 more source

Complex quaternionic manifolds and C-projective structures

Complex Manifolds
We discuss complex quaternionic manifolds, i.e., those that have holonomy GL(n,H)U(1) $GL\left(n,\mathbb{H}\right)U\left(1\right)$ , which naturally arise via quaternionic Feix–Kaledin construction.
Borówka Aleksandra
doaj   +1 more source

Hyperholomorphic connections on coherent sheaves and stability

Open Mathematics, 2011
Verbitsky Misha
doaj   +1 more source

On the characteristic connection of gwistor space

Open Mathematics, 2013
Albuquerque Rui
doaj   +1 more source

Hypersurfaces of the nearly Kähler twistor spaces $\mathbb{C}\mathrm{P}^3$ and ${\mathbb{F}_{1,2}}$

Tohoku Mathematical Journal, 2021
Guillaume Deschamps, Eric Loubeau
exaly  

GL(2)‐geometry and complex structures

Journal of the London Mathematical Society, 2021
Wojciech Krynski
exaly