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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

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / 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
Kim, Hoonjoo
Lim,, D. H. , & Kim,, H. (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

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics

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