This article reveals properties of hyperbolic Yamabe solitons in three dimensions, highlighting their types in Lorentzian manifolds.
The present article deals with homogeneous hyperbolic Yamabe solitons of dimension three. We delve into unimodular as well as non-unimodular hyperbolic Yamabe solitons on Lorentzian manifolds. Hyperbolic Yamabe solitons on special three dimensional Lie groups have also been considered.
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Sarkar et al. (2025) studied this question.
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