19 citations · 64 across the 13 of their papers we have counts for
4 papers · 2 filters
Lie group structures on automorphism groups of real-analytic CR manifolds
Bernhard Lamel, Nordine Mir, Dmitri Zaitsev
Given 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 appropr…
Finite jet determination of local CR automorphisms through resolution of degeneracies
Bernhard Lamel, Nordine Mir
Let M be a connected real-analytic hypersurface in N-dimensional complex euclidean space whose Levi form is nondegenerate at some point. We prove that for every point p in M, there…
Remarks on the rank properties of formal CR maps
Bernhard Lamel, Nordine Mir
We prove several new transversality results for formal CR maps between formal real hypersurfaces in complex space. Both cases of finite and infinite type hypersurfaces are tackled…
Parametrization of local CR automorphisms by finite jets and applications
Bernhard Lamel, Nordine Mir
For any real-analytic hypersurface M in complex euclidean space of dimension >= 2 which does not contain any complex-analytic subvariety of positive dimension, we show that for eve…