Lie group structures on automorphism groups of real-analytic CR manifolds

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/215441Given any real-analytic CR manifold M, we provide general conditions on M guaranteeing that the group of all its global real-analytic CR automorphisms is a Lie group (in an appropriate topology). Our conditions are in particular satisfied when M is an arbitrary compact real-analytic hypersurface embedded in some Stein manifold.16 pagesComplex VariablesDifferential Geometry32H02, 32V20, 32V25, 32V35, 32V40, 22E99Lie group structures on automorphism groups of real-analytic CR manifoldstext