Lie bialgebra structures on the twisted Heisenberg–Virasoro algebra

In this paper we investigate Lie bialgebra structures on the twisted Heisenberg–Virasoro algebra. With the determination of certain Lie bialgebra structures on the Virasoro algebra, we determine certain structures on the twisted Heisenberg–Virasoro algebra. Moreover, some general and useful results are obtained. With our methods and results we also can easily determine certain structures on some Lie algebras related to the twisted Heisenberg–Virasoro algebra.