On groups of isometries preserving multiples horospheres (Tam Nguyen Phan, MPI Bonn)

20.03.2018 10:30

Let X be a Hadamard manifold, i.e. X is complete, simply connected and has nonpositive sectional curvature. Suppose that a group $\Gamma$ acts on X by covering space transformations. We will be interested in the case when $\Gamma$ preserves some horospheres. Let Fix^0($\Gamma$) be the set of points at infinity whose horospheres are preserved by $\Gamma$. I will discuss the topology of Fix^0 and the relation between the dimension of $\Gamma$ and the dimension of Fix^0($\Gamma$). This is joint work with Grigori Avramidi.


Room 623, Séminaire "Groupes et Géométrie"

Organisé par

Section de mathématiques


Tam Nguyen Phan, MPI Bonn

entrée libre


Catégorie: Séminaire

Mots clés: groupes et géométrie