REAL HYPERSURFACES IN A NONFLAT COMPLEX SPACE FORM WITH SPECIAL STRUCTURE TENSOR FIELD

被引：0

作者：

Lim, Dong Ho ^{[1
]}

Kim, Hoonjoo ^{[1
]}

机构：

[1] Sehan Univ, Dept Math Educ, Jeollanam Do 58447, South Korea

来源：

JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2021年 / 28卷 / 03期

关键词：

real hypersurface; differential operator of structure tensor field; Hopf hypersurface; model spaces;

D O I：

10.7468/jksmeb.2021.28.3.247

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M be a real hypersurface in a complex space form M-n(c), c not equal 0. In this paper, we prove that if (del x phi)Y + (del y phi)X = 0 holds on M, then M is a Hopf hypersurface, where phi is the tangential projection of the complex structure of M-n(c). We characterize such Hopf hypersurfaces of M-n(c).

引用

页码：247 / 252

页数：6

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