Complex Analysis

 

People:
Leandro arosio  PhD Student
Luca Belli  PhD Student
Filippo Bracci Full Professor
Eleonora Ciriza Researcher
Laura Geatti Associate Professor
Andrea Iannuzzi Researcher
Mauro Nacinovich Full Professor
Mario principato PhD Student
Claudio Rea Full Professor
Paolo Salvatore Researcher
Francesca Tovena Associate Professor
Stefano Trapani Full Professor
SARA VITALI  PhD Student

 

 

 

Research activities:

Research activieties are concentrated on relationships among geometric, differential and topological properties of real and complex manifolds and CR or holomorphic mappings defined on them. In particular the following topics are studied:

1. Holomorphic dynamical systems

2. Modules spaces

3. Holomorphic foliations

4.  CR Manifolds

5. Invariant metrics

6.  CR Measures

7. Lie groups actions

Complex Analysis Seminar:

Since 1984 a permanent (bi-weekly) seminar of Complex Analysis is organized. During years, the seminar hosted both international expert and young mathematicians. To see the Complex Analysis Seminar web page click here.

 

 

Some recent publications:
* A. Altomani – M. Nacinovich Abelian extensions of semisimple graded CR algebras. Adv. Geom. 4 (2004), 4, 433--457.
* M. Abate – F. Bracci – F. Tovena Index theorems for holo-morphic self-maps Ann. of Math. 159, 2, (2004), 819-864.
*

F. Bracci – L. Molino The dynamics near quasi-parabolic fixed points of holomorphic diffeomorphisms in C2 Amer. J. Math. 126 (2004), 671-686.
* F. Bracci – G. Patrizio Monge-Ampθre foliations with singularities at the boundary of strongly convex domains. Math. Ann. 332 (2005), 3, 499-522.
* E. Casadio Tarabusi- A. Iannuzzi – S. Trapani Globalizations, fiber bundles, and envelopes of holomorphy. Math. Z. 233 (2000), 3, 535--551.
* E. Ciriza - M. Llarull Lower bounds for contraction constants of non-zero degree mappings onto the sphere. Differential Geom. Appl. 14 (2001), 2, 209--216.
* E. M. Chirka – C. Rea F. and M. Riesz theorem for CR functions. Duke Math. J. 250 (2005), 1, 1--6.
* L. Geatti Invariant domains in the complexification of a noncom-pact Riemannian symmetric space. J. Algebra 251 (2002), 2, 619--685.
* S. Halverscheid – A. Iannuzzi Maximal complexifications of certain homogeneous Riemannian manifolds. Trans. Amer. Math. Soc. 355 (2003), 11, 4581—4594.
* D. C. Hill – M. Nacinovich A weak pseudoconcavity condition for abstract almost CR manifolds. Invent. Math. 142 (2000), 2, 251--283.
* R. Longoni, P. Salvatore, Configuration spaces are not homotopy invariant. Topology 44, 2, 375-380
* A. Spiro – S. Trapani, Eversive maps of bounded convex domains in Cn+1 J. Geom. Anal. 12 (2002), 4, 695--715.