TANGENT BUNDLES OF LP-SASAKIAN MANIFOLD ENDOWED WITH GENERALIZED SYMMETRIC METRIC CONNECTION

被引：4
|
作者：
Khan, Mohammad Nazrul Islam [1 ]
Bahadir, Oguzhan [2 ]
机构：
[1] Qassim Univ, Coll Comp, Dept Comp Engn, Buraydah 51452, Saudi Arabia
[2] Kahramanmaras Sutcu Imam Univ, Fac Arts & Sci, Dept Math, Kahramanmaras, Turkiye
来源：
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2023年 / 38卷 / 01期
关键词：
LP-Sasakian manifold; Tangent bundle; Mathematical operators; Curva-ture tensor; Ricci tensor; Projective curvature tensor; Partial differential equations; NONMETRIC CONNECTION;
D O I：
10.22190/FUMI221026009K
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of the present work is to study and establish conditions for an LP-Sasakian manifold on the tangent bundle TM. An LP-Sasakian manifold with the generalized symmetric metric connection on TM is investigated. Next, the curvature tensor and the Ricci tensor of an LP-Sasakian manifold with respect to the generalized symmetric metric connection on TM are calculated. Moreover, the projective curvature tensor with respect to the generalized symmetric metric connection on TM is studied and showed that TM is not (xi) over cap (C)-projectively flat. In particular, if alpha= 0 and beta = 1 then TM is (xi) over cap (C)-projectively flat.
引用
收藏
页码：125 / 139
页数：15
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