Results 1 to 10 of about 33 (32)

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.
Roger Bielawski, Carolin Peternell
exaly   +3 more sources

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

Hyperkähler Manifolds of Curves in Twistor Spaces? [PDF]

, 2014
. We discuss hypercomplex and hyperkähler structures obtained from higher deg-ree curves in complex spaces fibring over P1. Key words: hyperkähler metrics; hypercomplex structures; twistor methods; projective curves 2010 Mathematics Subject ...
Roger Bielawski, Bielawski, Roger, Bielawski, R.   +2 more
core   +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

Нормалност на туисторното пространство на 5-мерно многообразие с неприводима SО(3)-структура

, 2014
[Davidov Johann; Давидов Йохан]A manifold with an irreducible SО(3)-structure is a 5-manifold M whose structure group can be reduced to the group SО(3), non-standardly imbedded in SО(5). The study of such manifolds has been initiated by M.
Davidov, Johann
core  

Normality of the twistor space of a 5-manifold with an irreducible SO(3)-structure

, 2014
A manifold with an irreducible SО(3)-structure is a 5-manifold M whose structure group can be reduced to the group SО(3), non-standardly imbedded in SО(5). The study of such manifolds has been initiated by M. Bobieński and P. Nurowski who, in particular,
Davidov, Johann
core  

Cohomology of Quaternionic Foliations and Orbifolds

, 2023
Rouzbeh Mohseni, Robert A. Wolak
core   +1 more source