Evgeny A. Poletsky, Sergey E. Sharonov
Abstract: 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 G/Ge, where Ge 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 AutR is on this list. In its turn, it allows us to state that the identity component of the group AutX must contain a group from this list.
Journal: The Journal of Geometric Analysis (2017).
DOI: 10.1007/s12220-017-9972-3