Gauged N=2 off-shell supergravity in five dimensions

We present some multiplets of N = 2 off-shell supergravity in five dimensio ns. One is the Super Yang-Mills multiplet, another one is the linear multip let. The latter one is used to establish a general action formula from whic h we derive an action for the Super Yang-Mills multiplet. The Super Yang-Mi lls multiplet is used to construct the non-linear multiplet with gauged SU( 2). This non-linear multiplet and the action formula for the Yang-Mills mul tiplet enable us to write down an SU(2) gauged supergravity which we finall y truncate to arrive at gauged supergravity with gauge group SO(2).