Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904909 | Advances in Mathematics | 2018 | 27 Pages |
Abstract
The setG=def{(z+w,zw):|z|<1,|w|<1}âC2 has intriguing complex-geometric properties; it has a 3-parameter group of automorphisms, its distinguished boundary is a ruled surface homeomorphic to the Möbius band and it has a special subvariety which is the only complex geodesic of G that is invariant under all automorphisms. We exploit the geometry of G to develop an explicit and detailed structure theory for the rational maps from the unit disc to the closure Î of G that map the boundary of the disc to the distinguished boundary of Î.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Jim Agler, Zinaida A. Lykova, N.J. Young,