• Corpus ID: 14151826

Complex Contact Threefolds and Their Contact Curves

  title={Complex Contact Threefolds and Their Contact Curves},
  author={Yun-Gang Ye},
  journal={arXiv: Algebraic Geometry},
  • Yun-Gang Ye
  • Published 7 February 1992
  • Mathematics
  • arXiv: Algebraic Geometry
A complex contact threefold is a threefold with a two-dimensional non-integrable holomorphic distribution. A contact curve on a contact threefold is an integrable curve of the distribution. This work was inspired by two papers of Bryant, in which he used complex contact geometry to study superminimal surfaces in four-sphere and to investigate exotic holonomies. The present paper is devoted to systematical studies of contact threefold and contact curves on them. We generalize a result of Bryant… 
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