Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.61186/ijmsi
14
8888
13
en
jalali
1398
7
1
gregorian
2019
10
1
14
2
online
1
fulltext
en
Local Symmetry of Unit Tangent Sphere Bundle With g- Natural Almost Contact B-Metric Structure
عمومى
General
پژوهشي
Research paper
<p>We consider the unit tangent sphere bundle of Riemannian manifold ( M, g ) with g-natural metric<br>
G̃ and we equip it to an almost contact B-metric structure. Considering this structure, we show that there is<br>
a direct correlation between the Riemannian curvature tensor of ( M, g ) and local symmetry property of G̃.<br>
More precisely, we prove that the flatness of metric g is necessary and sufficient for the g-natural metric G̃ to<br>
be locally symmetric.</p>
Almost contact structure, B-metrics, g-natural metrics, Local symmetry, Sphere bundle.
93
104
http://ijmsi.ir/browse.php?a_code=A-10-294-2&slc_lang=en&sid=1
F.
Firuzi
ffiruzi@gmail.com
10031947532846007805
10031947532846007805
No
Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.
Y.
Alipour Fakhri
y_alipour@pnu.ac.ir
10031947532846007806
10031947532846007806
No
Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.
E.
Peyghan
epeyghan@gmail.com
10031947532846007807
10031947532846007807
Yes
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran.