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

ISSN : 3059-0604

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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

Non-existance Real Hypersurfaces in a Nonflat Complex Space Form with Codazzi Type of 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.1, pp.55-60
https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.1.55
Lim, Dong Ho (Department of Mathematics Education, Sehan University)
Kim, Hwa Soo (Department of Mathematics Education, Sehan University)
Lim, Dong Ho, & Kim, Hwa Soo. (2021). NON-EXISTANCE REAL HYPERSURFACES IN A NONFLAT COMPLEX SPACE FORM WITH CODAZZI TYPE OF STRUCTURE TENSOR FIELD. , 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

한국수학교육학회지시리즈B:순수및응용수학

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