In this paper, we provide the complete list of all closed groups G of automorphisms of a product R of hyperbolic Riemann surfaces such that the order of any element in (Formula presented.), where (Formula presented.) is the identity component of G, is finite. In particular, if X is an analytic subvariety of R then the identity component of the stabilizer of X in (Formula presented.) is on this list. In its turn, it allows us to state that the identity component of the group (Formula presented.) must contain a group from this list.
- Automorphisms of complex manifolds
- Exponential Lie groups
- Non-discrete subgroups
ASJC Scopus subject areas
- Geometry and Topology