1992/02/07 by Yun-Gang Ye, Ye, Yun-Gang
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology
paper · pdf · doi:10.48550/arxiv.alg-geom/9202003
openalex publication_date 1992/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.