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.
机构:
Amirkabir Univ Technol, Fac Math & Comp Sci, Tehran Polytech, Tehran, IranAmirkabir Univ Technol, Fac Math & Comp Sci, Tehran Polytech, Tehran, Iran
机构:
Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
Nankai Univ, LPMC, Tianjin 300071, Peoples R ChinaNankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
Huang, Libing
Xue, Qiong
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机构:
Wuhan Univ Technol, Sch Sci, Wuhan 430070, Peoples R ChinaNankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
机构:
Department of Mathematics, College of Science, King Saud University, Riyadh 11451Department of Mathematics, College of Science, King Saud University, Riyadh 11451