Inverse curvature flows in Riemannian warped products (Q2422461)

The author considers expanding curvature flows of the form \[ \dot{x}=\frac{1}{F^p}\nu, \] where \(0<p\le1\). The domain of \(x\) is \(\big[0,T^*\big)\times\mathscr{M}^n\), where \(\mathscr{M}^n\) is a smooth, orientable, compact manifold. The author then examines some qualitative properties (e.g., long-time existence) of the solutions of this flow.