Automorphism groups of domains that depend on fewer than the maximal number of parameters

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/172477We study domains in complex $n$-space with automorphism group that does not depend on the full $n$ dimensions of the ambient space. A sufficient geometric condition is obtained to guarantee that a domain has such a "thin" automorphism group. Examples are provided to illustrate the ideas.Complex Variables32M05, 32H02, 32M99, 32H99Automorphism groups of domains that depend on fewer than the maximal number of parameterstext