Extremal Rays and Null Geodesics on a Complex Conformal Manifold
This is a revised version of the paper submitted before.
alg-geom↗
arXiv subjects
Publications and source records attributed to Yun-Gang Ye.
This is a revised version of the paper submitted before.
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.