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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.28 No.1

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Non-existance Real Hypersurfaces in a Nonflat Complex Space Form with Codazzi Type of Structure Tensor Field

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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.1, pp.55-60
https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.1.55
Lim, Dong Ho
Kim, Hwa Soo
Lim,, D. H. , & Kim,, H. S. (2021). Non-existance Real Hypersurfaces in a Nonflat Complex Space Form with Codazzi Type of Structure Tensor Field. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 28(1), 55-60, https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.1.55

Abstract

Let M be a real hypersurface in a complex space form Mn(c), c ≠ 0. In this paper we prove that if the structure tensor field is Codazzi type, then M is a Hopf hypersurface. 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: The Pure and Applied Mathematics

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