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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.28 No.3

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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

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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, 28(3), 247-252, https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.3.247

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

한국수학교육학회지시리즈B:순수및응용수학

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