Dynamical branes on expanding orbifold and complex projective space

We construct some new dynamical $p$-brane solutions to gravity theories on curved backgrounds. We discuss the relations between dynamical branes, a new time-dependent solution on complex projective space $\mathbb{C}{\mathrm{P}}^n$ and the static $p$-branes on the orbifold ${\mathbb{C}}^n\mathrm{/}{\mathbb{Z}}_n$.