Affiliation:
1. Department of Mathematics, Aristotle University of Thessaloniki , Thessaloniki Greece
Abstract
Abstract
We aim to classify the real hypersurfaces M in a Kaehler complex space form Mn
(c) satisfying the two conditions
φ
l
=
l
φ
,
$\varphi l=l\varphi ,$
where
l
=
R
(
⋅
,
ξ
)
ξ
and
φ
$l=R(\cdot ,\xi )\xi \text{ and }\varphi $
is the almost contact metric structure of M, and
(
∇
ξ
l
)
X
=
$\left( {{\nabla }_{\xi }}l \right)X=$
ω(X)ξ, where where ω(X) is a 1-form and X is a vector field on M. These two conditions imply that M is a Hopf hypersurface and ω = 0.