Ricci solitons of the <inline-formula><tex-math id="M1">$ \mathbb{H}^{2} \times \mathbb{R} $</tex-math></inline-formula> Lie group
Ricci solitons of the <inline-formula><tex-math id="M1">$ \mathbb{H}^{2} \times \mathbb{R} $</tex-math></inline-formula> Lie group
<p style='text-indent:20px;'>In this work we consider the three-dimensional Lie group denoted by <inline-formula><tex-math id="M2">$ \mathbb{H}^{2} \times \mathbb{R} $</tex-math></inline-formula>, equipped with left-invariant Riemannian metric. The existence of non-trivial (i.e., not Einstein) Ricci solitons on three-dimensional Lie group <inline-formula><tex-math id="M3">$ \mathbb{H}^{2} \times \mathbb{R} $</tex-math></inline-formula> is proved. Moreover, we show that there are …