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Keywords = (k,μ)-almost co-Kähler manifolds

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11 pages, 291 KiB  
Article
η-∗-Ricci Solitons and Almost co-Kähler Manifolds
by Arpan Sardar, Mohammad Nazrul Islam Khan and Uday Chand De
Mathematics 2021, 9(24), 3200; https://doi.org/10.3390/math9243200 - 11 Dec 2021
Cited by 15 | Viewed by 2718
Abstract
The subject of the present paper is the investigation of a new type of solitons, called η-∗-Ricci solitons in (k,μ)-almost co-Kähler manifold (briefly, ackm), which generalizes the notion of the η-Ricci soliton [...] Read more.
The subject of the present paper is the investigation of a new type of solitons, called η-∗-Ricci solitons in (k,μ)-almost co-Kähler manifold (briefly, ackm), which generalizes the notion of the η-Ricci soliton introduced by Cho and Kimura. First, the expression of the ∗-Ricci tensor on ackm is obtained. Additionally, we classify the η-∗-Ricci solitons in (k,μ)-ackms. Next, we investigate (k,μ)-ackms admitting gradient η-∗-Ricci solitons. Finally, we construct two examples to illustrate our results. Full article
(This article belongs to the Special Issue Geometry of Manifolds and Applications)
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