Real moment-angle manifolds associated to flag complexes satisfy the Borel Conjecture in dimensions at least 5 because their universal covers admit CAT(0) metrics.
Moussong,Hyperbolic Coxeter groups, Ph.D
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Remarks on Topological Rigidity of Real Moment-Angle Manifolds
Real moment-angle manifolds associated to flag complexes satisfy the Borel Conjecture in dimensions at least 5 because their universal covers admit CAT(0) metrics.