A Study of Hyperbolic Yamabe Solitons on Nonreductive Four-Dimensional Homogeneous Manifolds

Foued Aloui, Majid Ali Choudhary, Maged Z. Youssef and Mohammad Nazrul Islam Khan

Journal of Mathematics, 2026, vol. 2026, 1-10

Abstract: The study of geometric structures on homogeneous pseudo-Riemannian spaces G/H,g has long been an important area of research in differential geometry. Such spaces are characterized by the transitive action of a Lie group G, with the metric g being G-invariant using mathematical operators. However, the work of Fels and Renner shows that four-dimensional homogeneous pseudo-Riemannian manifolds also include nonreductive cases, where the usual reductive decomposition does not hold. These nonreductive spaces provide a rich framework for investigating various geometric structures and nonlinear systems. In this paper, we study hyperbolic Yamabe soliton vector fields, a concept introduced only recently.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9855286

DOI: 10.1155/jom/9855286

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