A classification of ( k , μ ) ′ -almost Kenmotsu manifolds admitting Cotton tensor
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Date
2021-06-30
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Ankara Üniversitesi Fen Fakültesi
Abstract
The object of the present paper is to classify
(
k
,
μ
)
′
-almost Kenmotsu manifolds admitting Cotton tensors. We characterize
(
k
,
μ
)
′
-almost Kenmotsu manifolds with vanishing and parallel Cotton tensors. Beside this,
(
k
,
μ
)
′
-almost Kenmotsu manifolds satisfying Cotton semisymmetry and
Q
(
g
,
C
)
=
0
are studied. Further, Cotton pseudo-symmetric
(
k
,
μ
)
′
-almost Kenmotsu manifolds are classified.
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Keywords
Almost Kenmotsu manifolds, ξ -Cotton flat, Cotton flat