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Hyperkähler Manifolds of Curves in Twistor Spaces? [PDF]
. 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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Нормалност на туисторното пространство на 5-мерно многообразие с неприводима SО(3)-структура
[Davidov Johann; Давидов Йохан]A manifold with an irreducible SО(3)-structure is a 5-manifold M whose structure group can be reduced to the group SО(3), non-standardly imbedded in SО(5). The study of such manifolds has been initiated by M.
Davidov, Johann
core
Normality of the twistor space of a 5-manifold with an irreducible SO(3)-structure
A manifold with an irreducible SО(3)-structure is a 5-manifold M whose structure group can be reduced to the group SО(3), non-standardly imbedded in SО(5). The study of such manifolds has been initiated by M. Bobieński and P. Nurowski who, in particular,
Davidov, Johann
core
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GL(2)‐geometry and complex structures
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Gravity from holomorphic discs and celestial $$Lw_{1+\infty }$$ symmetries
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Nonlinear gravitons, null geodesics, and holomorphic disks
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Twistor geometry and warped product orthogonal complex structures
Duke Mathematical Journal, 2011Simon Montague Salamon, Lev Borisov
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On the quaternionic manifolds whose twistor spaces are Fano manifolds
Tohoku Mathematical Journal, 2015Radu Pantilie
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Almost contact structures on the set of rational curves in a 4-dimensional twistor space
Kodai Mathematical Journal, 2023exaly

