复二次曲面中等距Reeb流实超曲面的新表征

IF 0.4 4区数学 Q4 MATHEMATICS

Colloquium Mathematicum Pub Date : 2021-01-01 DOI:10.4064/cm8075-12-2019

Zejun Hu, Jiabin Yin

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引用次数: 3

摘要

利用复二次曲面Q (n≥3)的形状算子S和Reeb向量场ξ证明了其紧致可定向实超曲面的一个积分不等式。作为直接结果，我们得到了具有等距Reeb流的Q实超曲面的新特征。这样的超曲面已经被J. Berndt和Y. J. Suh分类[j]。数学学报，24(2013)，第1期。[1350050, 18页]。

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New characterizations of real hypersurfaces with isometric Reeb flow in the complex quadric

We prove an integral inequality for compact orientable real hypersurfaces of the complex quadric Q (n ≥ 3) in terms of their shape operator S and Reeb vector field ξ. As direct consequences, we obtain new characterizations for real hypersurfaces of Q with isometric Reeb flow. Such hypersurfaces have been classified by J. Berndt and Y. J. Suh [Int. J. Math. 24 (2013), art. 1350050, 18 pp.].

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来源期刊

Colloquium Mathematicum MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Colloquium Mathematicum is a journal devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research, interesting new proofs of important theorems and research-expository papers in all fields of pure mathematics. Two issues constitute a volume, and at least four volumes are published each year.