Real Hypersurfaces in Complex Grassmannians of Rank Two

Dehe Li and Shujie Zhai
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Dehe Li: School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China
Shujie Zhai: School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China

Mathematics, 2021, vol. 9, issue 24, 1-13

Abstract: It is known that there does not exist any Hopf hypersurface in complex Grassmannians of rank two of complex dimension 2 m with constant sectional curvature for m ≥ 3 . The purpose of this article is to extend the above result, and without the Hopf condition, we prove that there does not exist any locally conformally flat real hypersurface for m ≥ 3 .

Keywords: complex Grassmannians of rank two; real hypersurface; locally conformally flat; constant sectional curvature (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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