Ricci curvature of contact CR-warped product submanifolds in generalized Sasakian space forms admitting nearly Sasakian structure
| Autor: | Meraj Ali Khan, Ibrahim Al-Dayel |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics
Pure mathematics Mean curvature General Mathematics lcsh:Mathematics Space form Submanifold lcsh:QA1-939 Manifold ricci curvature Base (group theory) generalized sasakian space form Product (mathematics) laplacian Sectional curvature Mathematics::Differential Geometry contact cr-submanifolds warped product Ricci curvature |
| Zdroj: | AIMS Mathematics, Vol 6, Iss 3, Pp 2132-2151 (2021) |
| ISSN: | 2473-6988 |
| DOI: | 10.3934/math.2021130?viewType=HTML |
| Popis: | The objective of this paper is to achieve the inequality for Ricci curvature of a contact CR-warped product submanifold isometrically immersed in a generalized Sasakian space form admitting a nearly Sasakian structure in the expressions of the squared norm of mean curvature vector and warping function. In addition, the equality case is likewise discussed. Later, we proved that under a certain condition the base manifold $N_T^{n_1}$ is isometric to a $n_1$-dimensional sphere $S^{n_1}(\frac{\lambda_1}{n_1})$ with constant sectional curvature $\frac{\lambda_1}{n_1}.$ |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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