6 research outputs found
Proper holomorphic mappings between symmetrized ellipsoids
We characterize the existence of proper holomorphic mappings in the special
class of bounded -balanced domains in , called the
symmetrized ellipsoids. Using this result we conclude that there are no
non-trivial proper holomorphic self-mappings in the class of symmetrized
ellipsoids. We also describe the automorphism groupof these domains.Comment: 10 pages, some modification