Caratheodory Distance and Convexity with Respect to Bounded Holomorphic Functions

Su-Shing Chen
1973 Proceedings of the American Mathematical Society  
A characterization of connected complex manifolds with complete Carathéodory distances is obtained. Some basic facts concerning convexity of complex manifolds with respect to their algebras of bounded holomorphic functions are also given.
doi:10.2307/2039636 fatcat:r3nt2dcqdbftbj63ogsvtazxra