Real hypersurfaces in complex space forms with special almost contact structures

Quanxiang Pan; Quanxiang Pan

doi:10.3934/math.20231391

AIMS Mathematics

2023, Volume 8, Issue 11: 27200-27209. doi: 10.3934/math.20231391

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Research article

Real hypersurfaces in complex space forms with special almost contact structures

Quanxiang Pan ^,

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

Received: 11 August 2023 Revised: 12 September 2023 Accepted: 18 September 2023 Published: 25 September 2023
MSC : Primary 53B25, Secondary 53D15

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.
- real hypersurface,
- nonflat complex space form,
- almost contact metric structure
Citation: Quanxiang Pan. Real hypersurfaces in complex space forms with special almost contact structures[J]. AIMS Mathematics, 2023, 8(11): 27200-27209. doi: 10.3934/math.20231391

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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.

References

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