Closed Groups of Automorphisms of Products of Hyperbolic Riemann Surfaces

Evgeny A. Poletsky, Sergey E. Sharonov

Research output: Contribution to journalArticlepeer-review

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 Aut R is on this list. In its turn, it allows us to state that the identity component of the group Aut X must contain a group from this list.

Original languageEnglish (US)
Pages (from-to)3690-3707
Number of pages18
JournalJournal of Geometric Analysis
Volume28
Issue number4
DOIs
StatePublished - Dec 15 2018

Keywords

  • Automorphisms of complex manifolds
  • Exponential Lie groups
  • Non-discrete subgroups
  • Stabilizers

ASJC Scopus subject areas

  • Geometry and Topology

Fingerprint Dive into the research topics of 'Closed Groups of Automorphisms of Products of Hyperbolic Riemann Surfaces'. Together they form a unique fingerprint.

Cite this