Results 21 to 30 of about 177 (45)

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

Line bundles on spectral curves and the generalised Legendre transform construction of hyperkaehler metrics

, 2008
An analogue of the correspondence between GL(k)-conjugacy classes of matricial polynomials and line bundles is given for K-conjugacy classes, where K is one of the following: maximal parabolic, maximal torus, GL(k-1) embedded diagonally.
Adams, Alekseevsky, Atiyah, Beauville, Beauville, Bielawski, Bielawski, Bielawski, Bielawski, Bielawski, Bielawski, Bielawski, Chalmers, Cherkis, Cherkis, Dunajski, Dunajski, D’amorim Santa-Cruz, Griffiths, Hitchin, Hitchin, Houghton, Houghton, Hurtubise, Ivanov, Kostant, Kronheimer, Lindström, Roger Bielawski, Taubes   +29 more
core   +1 more source

Twistor spaces of generalized complex structures

, 2005
The twistor construction is applied for obtaining examples of generalized complex structures (in the sense of N. Hitchin) that are not induced by a complex or a symplectic structure.Comment: revised version, 17 pages; corrected typos, added references ...
Atiyah, Besse, Bérard-Bergery, Courant, Courant, Dubois-Violette, Eells, Gauduchon, Hitchin, Johann Davidov, LeBrun, Oleg Mushkarov, O’Brian, Penrose, Penrose, Salamon, Skornyakov, Wolf   +17 more
core   +3 more sources

Connections on non-symmetric (generalized) Riemannian manifold and gravity

, 2015
Connections with (skew-symmetric) torsion on non-symmetric Riemannian manifold satisfying the Einstein metricity condition (NGT with torsion) are considered.
Ivanov, Stefan, Zlatanovic, Milan
core   +1 more source

A Product Twistor Space [PDF]

, 2002
∗Research supported in part by NSF grant INT-9903302.In previous work a hyperbolic twistor space over a paraquaternionic Kähler manifold was defined, the fibre being the hyperboloid model of the hyperbolic plane with constant curvature −1.
Blair, David
core  

Twistorial construction of minimal hypersurfaces

, 2014
Every almost Hermitian structure $(g,J)$ on a four-manifold $M$ determines a hypersurface $\Sigma_J$ in the (positive) twistor space of $(M,g)$ consisting of the complex structures anti-commuting with $J$. In this note we find the conditions under which $
Davidov, Johann
core   +1 more source

Twistor interpretation of slice regular functions

, 2017
Given a slice regular function $f:\Omega\subset\mathbb{H}\to \mathbb{H}$, with $\Omega\cap\mathbb{R}\neq \emptyset$, it is possible to lift it to a surface in the twistor space $\mathbb{CP}^{3}$ of $\mathbb{S}^4\simeq \mathbb{H}\cup \{\infty\}$ (see ...
Altavilla, Amedeo
core   +1 more source

Identifying subspace gene clusters from microarray data using low-rank representation. [PDF]

PLoS One, 2013
Cui Y, Zheng CH, Yang J.
europepmc   +1 more source

Hyperholomorphic connections on coherent sheaves and stability

Open Mathematics, 2011
Verbitsky Misha
doaj   +1 more source

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GL(2)‐geometry and complex structures

Journal of the London Mathematical Society, 2021
Wojciech Kryński
exaly