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Research Article | Open Access

Real hypersurfaces in complex space forms with special almost contact structures

School of Science, Henan Institute of Technology, Henan 453003, China
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Abstract

In this paper, we prove that an almost contact metric structure of a real hypersurface in a complex space form is quasi-contact if and only if it is contact. We also classify real hypersurfaces whose associated almost contact metric structures are nearly Kenmotsu or cosymplectic, which gives several extensions of some earlier results in this field.

Keywords

real hypersurfacenonflat complex space formalmost contact metric structure
CLC number: Primary 53B25, Secondary 53D15

References

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AIMS Mathematics
Volume 8 Issue 11,
November 2023
Pages 27200-27209
DOI: 10.3934/math.20231391

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Pan Q. Real hypersurfaces in complex space forms with special almost contact structures. AIMS Mathematics, 2023, 8(11): 27200-27209. https://doi.org/10.3934/math.20231391

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Received: 11 August 2023
Revised: 12 September 2023
Accepted: 18 September 2023
Published: 15 November 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)