  In this paper, we produce explicit examples of mean curvature flow of
(2m-1)-dimensional submanifolds which converge to (2m-2)-dimensional
submanifolds at a finite time. These examples are a special class of
hyperspheres in $\mathbb{C}^{m}$ with a $U(m)$-invariant K\"ahler metrics. We
first discuss the mean curvature flow problem and then investigate the type of
singularities for them.
