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http://dx.doi.org/10.4134/JKMS.2006.43.6.1289

ANTI-HOLOMORPHIC TWISTOR AND SYMPLECTIC STRUCTURE  

Joe, Do-Sang (Department of Mathematics Education Konkuk University)
Publication Information
Journal of the Korean Mathematical Society / v.43, no.6, 2006 , pp. 1289-1300 More about this Journal
Abstract
It is well known that the twistor, section of twistor space, classify the orthogonal almost complex structure on even dimensional Riemannian manifold (X, g). We will show that existence of a harmonic and anti-holomorphic twistor is equivalent to having a symplectic structure on (X, g).
Keywords
twistor space; pure spinor; symplectic structure;
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