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E-Bochner curvature tensor on generalized Sasakian space forms
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Generalized Sasakian space forms have become today a rather specialized subject, but many contemporary works are concerned with the study of their properties and of their related curvature tensors. The goal of this paper is to study the
E
-Bochner curvature tensor on generalized Sasakian space forms, and to characterize the situations when it is, respectively:
E
-Bochner symmetric (
∇
B
e
=
0
);
E
-Bochner semisymmetric (
R
⋅
B
e
=
0
);
E
-Bochner recurrent;
E
-Bochner pseudosymmetric; such that
B
e
(
ξ
,
X
)
⋅
S
=
0
; such that
B
e
(
ξ
,
X
)
⋅
R
=
0
.
Title: E-Bochner curvature tensor on generalized Sasakian space forms
Description:
Generalized Sasakian space forms have become today a rather specialized subject, but many contemporary works are concerned with the study of their properties and of their related curvature tensors.
The goal of this paper is to study the
E
-Bochner curvature tensor on generalized Sasakian space forms, and to characterize the situations when it is, respectively:
E
-Bochner symmetric (
∇
B
e
=
0
);
E
-Bochner semisymmetric (
R
⋅
B
e
=
0
);
E
-Bochner recurrent;
E
-Bochner pseudosymmetric; such that
B
e
(
ξ
,
X
)
⋅
S
=
0
; such that
B
e
(
ξ
,
X
)
⋅
R
=
0
.
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