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A nonlinear extension of the Borel density theorem: Applications to invariance of geometric structures and to smooth orbit equivalence
Let G be a connected semisimple Lie group with no compact factors and finite center and let T be a lattice in G (i.e. a discrete subgroup such that G/T has a finite invariant measure).Let n be a representation of G on some vector space V. Borel [Bo] proved that …