Results 11 to 20 of about 47 (44)
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 +2 more
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Homogeneous quaternionic Kähler structures on rank-three Alekseevsky spaces [PDF]
, 2011 15 págs. ; 2 tabs. ; A.M.S. Subject Classi cation 2010: 53C26, 53C30.The homogeneous quaternionic K ahler structures on the rank-three Alekseevsky spaces with their natural quaternionic structures, when each of them is described as a solvable Lie group,
Gadea, Pedro M. +5 more
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Invariant forms, associated bundles and Calabi-Yau metrics
, 2007 We develop a method, initially due to Salamon, to compute the space of “invariant ” forms on an associated bundle X = P ×GV, with a suitable notion of invariance. We determine sufficient conditions for this space to be d-closed.
Diego Conti, CONTI D
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Parallelizations on products of spheres and octonionic geometry
Complex Manifolds, 2019 A classical theoremof Kervaire states that products of spheres are parallelizable if and only if at least one of the factors has odd dimension. Two explicit parallelizations on Sm × S2h−1 seem to be quite natural, and have been previously studied by the ...
Parton Maurizio, Piccinni Paolo
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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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Complex ManifoldsWe revisit the second order estimate for solutions to the quaternionic Calabi–Yau problem on hyperkähler manifolds, originally established by Dinew and Sroka in [S. Dinew and M.
Gentili Giovanni, Vezzoni Luigi
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Hermitian-Yang-Mills Connections on Collapsing Elliptically Fibered K3 Surfaces. [PDF]
J Geom Anal, 2022 Datar V, Jacob A.
europepmc +1 more source
On almost hyperHermitian structures on Riemannian manifolds and tangent bundles
Open Mathematics, 2004 Bogdanovich Serge, Ermolitski Alexander
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Hyperholomorphic connections on coherent sheaves and stability
Open Mathematics, 2011 Verbitsky Misha
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