Analysis of Obata’s Differential Equations on Pointwise Semislant Warped Product Submanifolds of Complex Space Forms via Ricci Curvature
| Autor: | Amira A. Ishan |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Pointwise
Pure mathematics Article Subject Differential equation General Mathematics 010102 general mathematics General Engineering Type (model theory) Engineering (General). Civil engineering (General) Base (topology) 01 natural sciences 010101 applied mathematics Complex space Computer Science::Sound Product (mathematics) QA1-939 Mathematics::Metric Geometry Mathematics::Differential Geometry TA1-2040 0101 mathematics Mathematics::Symplectic Geometry Mathematics Ricci curvature |
| Zdroj: | Mathematical Problems in Engineering, Vol 2021 (2021) |
| ISSN: | 1563-5147 1024-123X |
| Popis: | The present paper studies the applications of Obata’s differential equations on the Ricci curvature of the pointwise semislant warped product submanifolds. More precisely, by analyzing Obata’s differential equations on pointwise semislant warped product submanifolds, we demonstrate that, under certain conditions, the base of these submanifolds is isometric to a sphere. We also look at the effects of certain differential equations on pointwise semislant warped product submanifolds and show that the base is isometric to a special type of warped product under some geometric conditions. |
| Databáze: | OpenAIRE |
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