Results 21 to 29 of about 151 (29)
Complex quaternionic manifolds and C-projective structures
Complex ManifoldsWe 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
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Algebraic surfaces with infinitely many twistor lines
, 2019 We prove that a reduced and irreducible algebraic surface in $\mathbb{CP}^{3}$ containing infinitely many twistor lines cannot have odd degree. Then, exploiting the theory of quaternionic slice regularity and the normalization map of a surface, we give ...
Altavilla, Amedeo, Ballico, Edoardo
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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
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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 +17 more
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A double fibration transform for complex projective space
, 2016 We develop some theory of double fibration transforms where the cycle space is a smooth manifold and apply it to complex projective space.The author is supported by the Australian Research ...
Eastwood, Michael
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, 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
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Two constructions with parabolic geometries [PDF]
, 2005 This is an expanded version of a series of lectures delivered at the 25th Winter School ``Geometry and Physics'' in Srni. After a short introduction to Cartan geometries and parabolic geometries, we give a detailed description of the equivalence ...
Cap, Andreas
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Identifying subspace gene clusters from microarray data using low-rank representation. [PDF]
PLoS One, 2013 Cui Y, Zheng CH, Yang J.
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Hyperholomorphic connections on coherent sheaves and stability
Open Mathematics, 2011 Verbitsky Misha
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