Deforming convex projective manifolds

Daryl Cooper; Darren Long; Stephan Tillmann

doi:10.2140/gt.2018.22.1349

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arXiv · 1511.06206

Deforming convex projective manifolds

Daryl Cooper·Darren Long·Stephan Tillmann

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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 non-compact (G,X)-manifolds of the openess of their holonomies.

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Daryl Cooper, Darren Long, Stephan Tillmann. 2015-11-19. Deforming convex projective manifolds. https://doi.org/10.2140/gt.2018.22.1349

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