An Oka manifold is a complex manifold with the convex approximation property in every
complex source dimension. For every integer 
, nonempty compact convex
set 
, open neighborhood 
of 
, holomorphic map 
,
and 
, there is a holomorphic
map 
with
 |
Here 
is any smooth Hermitian distance.
The equivalent Stein-source formulation permits continuous maps to be deformed to
holomorphic maps with approximation and interpolation.
