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Finiteness of infinitesimal deformationsof CR mappings of CR manifolds of nondegenerate Levi form
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Abstract
Let M and N be CR manifolds with nondegenerate Leviforms of hypersurface type of dimension 2m+1 and 2n+1,respectively, where 1 le m le n. Let f: M rightarrow N bea CR mapping. Under a generic assumption we construct a completesystem of finite order for the infinitesimal deformations of f.In particular, we prove the space of infinitesimal deformations off forms a finite dimensional Lie algebra.
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