Complex contact three manifolds with Legendrian vector fields. (English) Zbl 1153.32302

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.


32J17 Compact complex \(3\)-folds
53C30 Differential geometry of homogeneous manifolds
53D10 Contact manifolds (general theory)
Full Text: DOI Euclid


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