Results 1 to 10 of about 151 (29)
On the characteristic connection of gwistor space [PDF]
Open Mathematics, 2013 We give a brief presentation of gwistor space, which is a new concept from G_2 geometry. Then we compute the characteristic torsion T^c of the gwistor space of an oriented Riemannian 4-manifold with constant sectional curvature k and deduce the condition
Albuquerque Rui
doaj +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 +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
Variations of gwistor space [PDF]
, 2012 We study natural variations of the G2 structure {\sigma}_0 \in {\Lambda}^3_+ existing on the unit tangent sphere bundle SM of any oriented Riemannian 4-manifold M.
Albuquerque, Rui
core +2 more sources
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
Hyperk\"ahler Manifolds of Curves in Twistor Spaces [PDF]
, 2014 We discuss hypercomplex and hyperk\"ahler structures obtained from higher degree curves in complex spaces fibring over ${\mathbb{P}}^1$.Comment: v4: added the missing assumption on dimension in Theorem 3 ...
Bielawski, Roger
core +4 more sources
The twistor space of a quaternionic contact manifold [PDF]
, 2010 We show that the CR structure on the twistor space of a quaternionic contact structure described by Biquard is normal if and only if the Ricci curvature of the Biquard connection commutes with the endomorphisms in the quaternionic structure of the ...
Davidov, Johann +2 more
core +1 more source
Twistors and Bi-Hermitian Surfaces of Non-K\"ahler Type [PDF]
, 2014 The aim of this work is to give a twistor presentation of recent results about bi-Hermitian metrics on compact complex surfaces with odd first Betti ...
Fujiki, Akira, Pontecorvo, Massimiliano
core +2 more sources