Complex Contact Threefolds and Their Contact Curves

Details Complex Contact Threefolds and Their Contact Curves Complex Contact Threefolds and Their Contact Curves

1992-02-07

arxiv.org/abs/alg-geom/9202003v1

Mathematics

Algebraic Geometry

18 pages, AMS-Tex 2.1

Scientific paper

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 and answer a question of his.

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