24 citations · 96 across the 28 of their papers we have counts for
4 papers · 1 filter
A gap theorem for the complex geometry of convex domains
Andrew Zimmer
In this paper we establish a gap theorem for the complex geometry of smoothly bounded convex domains which informally says that if the complex geometry near the boundary is close t…
Generic analytic polyhedron with non-compact automorphism group
Andrew Zimmer
In this paper we prove the following rigidity theorem: a generic analytic polyhedron with non-compact automorphism group is biholomorphic to the product of a complex manifold with…
Gromov hyperbolicity, the Kobayashi metric, and -convex sets
Andrew M. Zimmer
In this paper we study the global geometry of the Kobayashi metric on domains in complex Euclidean space. We are particularly interested in developing necessary and sufficient cond…
Goldilocks domains, a weak notion of visibility, and applications
Gautam Bharali, Andrew Zimmer
In this paper we introduce a new class of domains in complex Euclidean space, called Goldilocks domains, and study their complex geometry. These domains are defined in terms of a l…