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

Facta Universitatis. Series Mathematics and Informatics

article

Mohammad Nazrul Islam Khan¹  O˘guzhan Bahadır² 

[1] Qassim University;Department of Mathematics, Faculty of Arts and Sciences, Kahramanmaras Sutcu Imam University

关键词: LP-Sasakian manifold;    Tangent bundle;    Mathematical operators;    Curva- ture tensor;    Ricci tensor;    Projective curvature tensor;    Partial differential equations;   

DOI  :  10.22190/FUMI221026009K

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Nishu / University of Nis

【 摘 要 】

The aim of the present work is to study and establish conditions for anLP-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 $\hat{\xi}^C$-projectively flat. In particular, if $\alpha=0$ and $\beta=1$ then $TM$ is $\hat{\xi}^C$-projectively flat.

【 授权许可】

Unknown