Real Hypersurfaces in a Nonflat Complex Space Form with Special Structure Tensor Field

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2021, v.28 no.3, pp.247-252

https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.3.247

Lim, Dong Ho (Department of Mathematics Education, Sehan University)
Kim, Hoonjoo (Department of Mathematics Education, Sehan University)

Lim, Dong Ho, & Kim, Hoonjoo. (2021). REAL HYPERSURFACES IN A NONFLAT COMPLEX SPACE FORM WITH SPECIAL STRUCTURE TENSOR FIELD. 한국수학교육학회지시리즈B:순수및응용수학, 28(3), 247-252, https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.3.247

복사

다운로드 수
조회수

PDF 다운로드

Abstract

Let M be a real hypersurface in a complex space form Mn(c), c ≠ 0. In this paper, we prove that if (∇Xϕ)Y + (∇Yϕ)X = 0 holds on M, then M is a Hopf hypersurface, where ϕ is the tangential projection of the complex structure of Mn(c). We characterize such Hopf hypersurfaces of Mn(c).

keywords: real hypersurface, differential operator of structure tensor field, Hopf hypersurface, model spaces

바로가기메뉴

논문 상세

Vol.28 No.3

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

Real Hypersurfaces in a Nonflat Complex Space Form with Special Structure Tensor Field

Abstract

한국수학교육학회지시리즈B:순수및응용수학