Real hypersurfaces in complex space forms with special almost contact structures

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.

Automated summary

In this paper, we have shown 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 have also classified real hypersurfaces whose associated almost contact metric structures are nearly Kenmotsu or cosymplectic, which extends some earlier results in this field.