Flexing closed hyperbolic manifolds.

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On Convex Projective Manifolds and Cusps (2011, background): “Moreover, there is a link between real projective deformations and complex hyperbolic deformations of a real hyperbolic orbifold (see [23]).”
Convex projective structures on nonhyperbolic three-manifolds (2015, background): “A related rigidity condition in closed hyperbolic three-manifolds was studied in Cooper–Long– Thistlethwaite [15, 14] and shown experimentally to hold very often in small examples.”