Real hypersurfaces in complex space forms with special almost contact structures

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 hypersurface
• nonflat complex space form
• almost contact metric structure