86 citations · 543 across the 59 of their papers we have counts for
4 papers · 1 filter
Dynamics on flag manifolds: domains of proper discontinuity and cocompactness
Michael Kapovich, Bernhard Leeb, Joan Porti
For noncompact semisimple Lie groups we study the dynamics of the actions of their discrete subgroups on the associated partial flag manifolds . Our study is based o…
Affine buildings for dihedral groups
Arkady Berenstein, Michael Kapovich
We construct rank 2 thick nondiscrete affine buildings associated with an arbitrary finite dihedral group.
Triangle inequalities in path metric spaces
Michael Kapovich
We study side-lengths of triangles in path metric spaces. We prove that unless such a space X is bounded, or quasi-isometric to line or half-line, every triple of real numbers sati…
Polygons in buildings and their refined side lengths
Michael Kapovich, Bernhard Leeb, John J. Millson
As in a symmetric space of noncompact type, one can associate to an oriented geodesic segment in a Euclidean building a vector valued length in the Euclidean Weyl chamber; in addit…