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: 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 (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. 한국수학교육학회지시리즈B:순수및응용수학, 28(1), 55-60, https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.1.55

복사

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

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논문 상세

Vol.28 No.1

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

Abstract

한국수학교육학회지시리즈B:순수및응용수학