Diverging sequences of unit volume invariant metrics with bounded curvature

We study 1-parameter families in the space $mathcal{M}^G_1$ of $G$-invariant, unit volume metrics on a given compact, connected, almost-effective homogeneous space $M = G/H$. In particular, we focus on diverging sequences, i. e. that are not contained in any compact subset of $mathcal{M}^G_1$, and we prove some structure results for those which have bounded curvature. We also relate our results to an algebraic version of collapse.