Hopf hypersurfaces in complex two-plane Grassmannians with generalized Tanaka–Webster D-parallel shape operator

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• 作者：Hyunjin Lee ; Eunmi Pak ; Young Jin Suh
• 关键词：Complex two ; plane Grassmannians ; real hypersurfaces ; generalized Tanaka–Webster connection ; parallel shape operator ; D ; parallel shape operator
• 刊名：Acta Mathematica Sinica, English Series
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：33
• 期：1
• 页码：61-70
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general;
• 出版者：Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
• ISSN：1439-7617
• 卷排序：33

文摘

In this paper, we consider a new notion of generalized Tanaka–Webster D-parallel shape operator for a real hypersurface in a complex two-plane Grassmannian and prove a non-existence theorem of a real hypersurface.