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arXiv · 2009.06582

The Space of Strictly-convex Real-projective structures on a closed manifold

Daryl Cooper·Stephan Tillmann
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Abstract

This is an expository proof that, if $M$ is a compact $n$-manifold with no boundary, then the set of holonomies of strictly-convex real-projective structures on $M$ is a subset of $\operatorname{Hom}(π_1M,\operatorname{PGL}(n+1,\mathbb R))$ that is both open and closed.

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Daryl Cooper, Stephan Tillmann. 2025-12-01. The Space of Strictly-convex Real-projective structures on a closed manifold. https://arxiv.org/abs/2009.06582

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