| Autor: |
Ali H. Hakami, Mohd. Danish Siddiqi, Aliya Naaz Siddiqui, Kamran Ahmad |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
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| Zdroj: |
Mathematics, Vol 11, Iss 21, p 4452 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2227-7390 |
| DOI: |
10.3390/math11214452 |
| Popis: |
A solution to an evolution equation that evolves along symmetries of the equation is called a self-similar solution or soliton. In this manuscript, we present a study of η-Ricci solitons (η-RS) for an interesting manifold called the (ε)-Kenmotsu manifold ((ε)-KM), endowed with a semi-symmetric metric connection (briefly, a SSM-connection). We discuss Ricci and η-Ricci solitons with a SSM-connection satisfying certain curvature restrictions. In addition, we consider the characteristics of the gradient η-Ricci solitons (a special case of η-Ricci soliton), with a Poisson equation on the same ambient manifold for a SSM-connection. In addition, we derive an inequality for the lower bound of gradient η-Ricci solitons for (ε)-Kenmotsu manifold, with a semi-symmetric metric connection. Finally, we explore a number theoretic approach in the form of Pontrygin numbers to the (ε)-Kenmotsu manifold equipped with a semi-symmetric metric connection. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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