Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Take an unbounded convex domain in C^n, with n>1. Suppose that it is Kobayashi hyperbolic. Is it true that it is biholomorphic to a BOUNDED convex domain? For n=1 it is true due to the Riemann mapping theorem.