Speaker
Dr
Jasna Prezelj Perman
(University of Primorska and University of Ljubljana)
Description
One of the big difficulties in compex analysis is construction of globally defined mappings on complex manifolds. Compact manifolds only have trivial mappings (into $\Cc^n$) and on the other side Stein manifolds have plenty. The next class with a large family of mappings are 1-convex manifolds. In particular, we are interested in constructing mappings with polynomial growth at the boundary in the case of relatively compact 1-convex subsets. The main tool in this constructions is the $\overline\partial$-equation. Here the curvature of the manifold comes into play and
if we are looking for sections of some vector bundle over such a manifold we have to take into account also the curvature of the bundle.
Primary author
Dr
Jasna Prezelj Perman
(University of Primorska and University of Ljubljana)
