Abstract
We study a properly convex real projective manifold with (possibly empty) compact, strictly convex boundary, and which consists of a compact part plus finitely many convex ends. We extend a theorem of Koszul, which asserts that for a compact manifold without boundary the holonomies of properly convex structures form an open subset of the representation variety. We also give a relative version for noncompact manifolds of the openness of their holonomies.
Citation
Daryl Cooper. Darren Long. Stephan Tillmann. "Deforming convex projective manifolds." Geom. Topol. 22 (3) 1349 - 1404, 2018. https://doi.org/10.2140/gt.2018.22.1349
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