Results 1 to 8 of about 8 (8)

Kobayashi—Hitchin correspondence for twisted vector bundles

open access: yesComplex 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

open access: yesComplex 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

open access: yesComplex 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   +1 more
doaj   +1 more source

The Adjunction Inequality for Weyl-Harmonic Maps

open access: yesComplex 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

Differential geometry of Hilbert schemes of curves in a projective space

open access: yesComplex 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

On the characteristic connection of gwistor space

open access: yesOpen Mathematics, 2013
Albuquerque Rui
doaj   +1 more source
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