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We study 1-parameter families in the space $\mathscr{M}^G_1$ 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.… Click to show full abstract
We study 1-parameter families in the space $\mathscr{M}^G_1$ 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. which are not contained in any compact subset of $\mathscr{M}^G_1$, and we prove some structure results for those which have bounded curvature. We also relate our results to an algebraic version of collapse.
Keywords:
bounded curvature;
unit volume;
diverging sequences
Journal Title: Annals of Global Analysis and Geometry
Year Published: 2019
Link to full text (if available)
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Journal Title: Annals of Global Analysis and Geometry
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!