Kodama, Hiroki Complex contact three manifolds with Legendrian vector fields. (English) Zbl 1153.32302 Proc. Japan Acad., Ser. A 78, No. 4, 51-54 (2002). Summary: We classify the local structure of complex contact manifolds of dimension three with Legendrian vector fields. We also give the partial classification of the complex contact manifolds with Legendrian vector fields, in case the manifolds admit holomorphic contact 1-forms. Cited in 1 Document MSC: 32J17 Compact complex \(3\)-folds 53C30 Differential geometry of homogeneous manifolds 53D10 Contact manifolds (general theory) Keywords:Complex contact manifold; complex vector field; Anosov action PDF BibTeX XML Cite \textit{H. Kodama}, Proc. Japan Acad., Ser. A 78, No. 4, 51--54 (2002; Zbl 1153.32302) Full Text: DOI Euclid References: [1] Guichard, M. C.: L’équation aux Différences Fines, Ann. de l’Éc. Normale, 3\(^{\text{e}}\) Série, Tome IV, 361-380 (1887). (In French). · JFM 19.0344.01 [2] Ghys, E., and Verjovsky, A.: Locally free holomorphic actions of the complex affine group. Proceedings of Geometric Study of Foliations, held in Tokyo, November 1993. World Scientific, Singapore, pp. 201-217 (1994). [3] Kodama, H.: Complex contact manifolds with Legendrian vector fields. Thesis, University of Tokyo (2002). · Zbl 1153.32302 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.