대한수학회지 (Journal of the Korean Mathematical Society)

  • 제43권6호
  • /
  • Pages.1289-1300
  • /
  • 2006
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지
DOI QR코드

DOI QR Code

ANTI-HOLOMORPHIC TWISTOR AND SYMPLECTIC STRUCTURE

  • Joe, Do-Sang (Department of Mathematics Education Konkuk University)
  • 발행 : 2006.11.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

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).

키워드

참고문헌

  1. S. K. Donaldson, The Seiberg-Witten equations and 4-manifold topology, Bull. Amer. Math. Soc. (N. S.) 33 (1996), no. 1, 45-70 https://doi.org/10.1090/S0273-0979-96-00625-8
  2. R. E. Gompf, A new construction of symplectic manifolds, Ann. of Math. (2) 142 (1995), no. 3, 527-595 https://doi.org/10.2307/2118554
  3. H. Blaine, Jr. Lawson and M.-L. Michelsohn, Spin geometry, Princeton Mathe- matical Series volume 38, Princeton University Press, Princeton, NJ, 1989
  4. J. W. Morgan, The Seiberg-Witten equations and applications to the topology of smooth four-manifolds, Mathematical Notes volume 44, Princeton University Press, Princeton, NJ, 1996
  5. C. H. Taubes, The Seiberg-Witten invariants and symplectic forms, Math. Res. Lett. 1 (1994), no. 6, 809-822 https://doi.org/10.4310/MRL.1994.v1.n6.a15
  6. C. H. Taubes, More constraints on symplectic forms from Seiberg-Witten invariants, Math. Res. Lett. 2 (1995), no. 1, 9-13 https://doi.org/10.4310/MRL.1995.v2.n1.a2