Rigidity of proper quasi-homogeneous domains in positive flag manifolds
Rigidity of proper quasi-homogeneous domains in positive flag manifolds
We show that, inside the Shilov boundary of any given Hermitian symmetric space of tube type, there is, up to isomorphism, only one proper domain whose action by its automorphism group is cocompact. This gives a classification of all closed proper manifolds locally modelled on such Shilov boundaries, and provides …