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ISSN : 1226-0657

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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: 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.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. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 28(3), 247-252, https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.3.247
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Abstract

Let M be a real hypersurface in a complex space form M<sub>n</sub>(c), c &#x2260; 0. In this paper, we prove that if (&#x2207;<sub>X</sub>&#x03D5;)Y + (&#x2207;<sub>Y</sub>&#x03D5;)X = 0 holds on M, then M is a Hopf hypersurface, where &#x03D5; is the tangential projection of the complex structure of M<sub>n</sub>(c). We characterize such Hopf hypersurfaces of M<sub>n</sub>(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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