Erratum to "On continuous dynamics of Automorphisms of C2".
On Continuous Dynamics of automorphisms of C2.
Fixed points for automorphisms in Cartan domains of type IV
Generic subgroups of Aut
We prove that for a parabolic subgroup of the fixed points sets of all elements in are the same. This result, together with a deep study of the structure of subgroups of acting freely and properly discontinuously on , entails a generalization of the so called weak Hurwitz’s theorem: namely that, given a complex manifold covered by and such that the group of deck transformations of the covering is “sufficiently generic”, then is isolated in .
Differential geometry of Cartan domains of type four
In this note we compute the sectional curvature for the Bergman metric of the Cartan domain of type IV and we give a classification of complex totally geodesic manifolds for this metric.
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