Rigidity and regularity in group actions
The authors present the statements of some results on the rigidity of automorphism groups for a \(G\)-invariant domain in the Stein quotient \(G_{\mathbb C}/K_{\mathbb C}\), where \(G\) is a connected compact Lie group, \(K\) is a closed sugroup and \(G_{\mathbb C}\) and \(K_{\mathbb C}\) denote the corresponding complexifications. There is also a sketch of the proofs. As well, there are some remarks on the regularity of the \(\overline{\partial}\)-Neumann operator in the setting of group actions. This paper has the curious anomaly of listing some thirty references ([20]-[49]) that might be relevant to the discussion at hand, but that appear not to have been actually cited anywhere in the work.
regularity of the \(\overline{\partial}\)-Neumann operator
scientific article; zbMATH DE number 5323359
scientific article