| Autor: |
Sudhakar Kumar Chaubey, Meraj Ali Khan, Amna Salim Rashid Al Kaabi |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
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| Zdroj: |
AIMS Mathematics, Vol 9, Iss 1, Pp 2232-2243 (2024) |
| Druh dokumentu: |
article |
| ISSN: |
2473-6988 |
| DOI: |
10.3934/math.2024111?viewType=HTML |
| Popis: |
We characterize $ N(\kappa) $-paracontact metric manifolds (NKPMM) $ M^{2n+1} $ satisfying the Fischer-Marsden conjecture. We demostrate that, if an $ M^{2n+1} $ satisfies the Fischer-Marsden equation, then either $ M^{2n+1} $ with $ \kappa > -1 $ is a non-Einstein manifold or $ M^{2n+1} $ is locally isometric to $ \mathbb{E}^{n+1} \times \mathbb{H}^{n}(-4) $ for $ n > 1 $. For the $ 3 $-dimensional case, we show that $ M^3 $ is an Einstein manifold. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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