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Anti-holomorphic twistor and symplectic structure

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Abstract

It is well known that the twistor, section of twistorspace, classify the orthogonal almost complex structure on evendimensional Riemannian manifold ( X;g). We will show that exis-tence of a harmonic and anti-holomorphic twistor is equivalent tohaving a symplectic structure on (X;g).

참고문헌 (3)

  1. "The Seiberg-Witten equations and 4-manifold topology", 33(1), pp.45~70 (1996)
  2. "A new construction of symplectic manifolds", 142(3), pp.527~595 (1995)
  3. "The Seiberg-Witten equations and applications to the topologyof smooth four-manifolds", 44 (1996), Princeton University Press Princeton

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