Einstein doubly warped product manifolds with semi-symmetric metric connection
| Autor: | Punam Gupta, Abdoul Salam Diallo |
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| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
Algebra and Number Theory 010102 general mathematics Mathematics::Geometric Topology 01 natural sciences Levi-Civita connection symbols.namesake Computer Science::Sound Product (mathematics) 0103 physical sciences symbols Mathematics::Differential Geometry 010307 mathematical physics Geometry and Topology 0101 mathematics Einstein Mathematics::Symplectic Geometry Analysis Metric connection Mathematics |
| Zdroj: | Acta Mathematica. 57:7-24 |
| ISSN: | 2084-3828 0083-4386 |
| Popis: | In this paper, we study the doubly warped product manifolds with semi-symmetric metric connection. We derive the curvature formulas for doubly warped product manifold with semi-symmetric metric connection in terms of curvatures of components of doubly warped product manifolds. We also prove the necessary and sufficient condition for a doubly warped product manifold to be a warped product manifold. We obtain some results for an Einstein doubly warped product manifold and Einstein-like doubly warped product manifold of class A with respect to a semi-symmetric metric connection. |
| Databáze: | OpenAIRE |
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