# International Conference on Graph Theory and Combinatorics

May 16 – 18, 2014
Rogla, Slovenia
UTC timezone

## Curvature in complex analysis.

Not scheduled
Rogla, Slovenia

### 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)

### Presentation materials

There are no materials yet.