Some results on almost Kenmotsu manifolds
Abstract
First we consider almost Kenmotsu manifolds which satisfy Codazzi condition for
and
, and we prove that in such cases the tensor
vanishes. Next, we prove that an almost Kenmotsu manifold having constant
-sectional curvature
which is locally symmetric is a Kenmotsu manifold of constant curvature
. We also prove that, for a
-almost Kenmotsu manifold of
with
, every conformal vector field is Killing. Finally, we prove that if
is a
-almost Kenmotsu manifold with
and
, then the vector field
which leaves the curvature tensor invariant is Killing.














DOI Code:
10.1285/i15900932v40n1p87
Keywords:
Almost Kenmotsu manifold; Locally symmetric spaces; Infinitesimal contact transformation; Conformal vector field
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