Real-analytic, volume-preserving actions of lattices on 4-manifolds

Mathematics – Differential Geometry

Scientific paper

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5 pages

Scientific paper

We prove that any real-analytic, volume-preserving action of a lattice
$\Gamma$ in a simple Lie group with $\Qrank(\Gamma)\geq 7$ on a closed
4-manifold of nonzero Euler characteristic factors through a finite group
action.

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