Let be a -dimensional compact CR manifold with codimension , , and let G be a d-dimensional compact Lie group with CR action on X and T be a globally defined vector field on X such that , where is the space of vector fields on X induced by the Lie algebra of G. In this work, we show that if X is strongly pseudoconvex in the direction of T and , then there exists a G-equivariant CR embedding of X into for some . We also establish a CR orbifold version of Boutet de Monvel’s embedding theorem.
"G-Equivariant Embedding Theorems for CR Manifolds of High Codimension." Michigan Math. J. Advance Publication 1 - 44, 2021. https://doi.org/10.1307/mmj/20205864