Abstract. Our aim is to study the class H of holomorphic mappings of real-analytic manifolds. On H the groups of automorphisms of the source and target manifold induce a group action. A map F in H is called locally rigid, if all maps close to F are equivalent to F with respect to the action of automorphisms.
In order to study rigidity problems it turned out to be useful to consider so-called infinitesimal deformations of maps, which are vectors whose real part is tangent to the target manifold along the image of the map. In this talk we focus on these objects and discuss some of their properties.
This is joint work with Giuseppe della Sala and Bernhard Lamel.
Seminar room 9, 2nd floor, Oskar-Morgenstern-Platz 1
1090 Vienna, Austria