6 citations · 15 across the 4 of their papers we have counts for
7 papers
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…
Convex functions on symmetric spaces, side lengths of polygons and stability inequalities for weighted configurations at infinity
Misha Kapovich, Bernhard Leeb, John J. Millson
In a symmetric space of noncompact type X = G/K oriented geodesic segments correspond to points in the Euclidean Weyl chamber. We can hence assign vector-valued side-lengths to seg…
The generalized triangle inequalities for rank 3 symmetric spaces of noncompact type
Shrawan Kumar, Bernhard Leeb, John J. Millson
We compute the generalized triangle inequalities explicitly for all rank 3 symmetric spaces. We find that for Sp(6) the corresponding polyhedral cone has 102 facets and 51 edges.
The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra
Michael Kapovich, Bernhard Leeb, John J. Millson
In this paper we apply our results on the geometry of polygons in Cartan subspaces, symmetric spaces and buildings to four problems in algebraic group theory. Two of these problems…
Geometrization of 3-dimensional orbifolds, Part I: Geometry of cone manifolds
Michel Boileau, Bernhard Leeb, Joan Porti
This paper has been withdrawn, because its material has been revised and became part of paper math.GT/0010184
Geometrization of 3-dimensional orbifolds
Michel Boileau, Bernhard Leeb, Joan Porti
The purpose of this article is to give a proof of the Orbifold Theorem announced by Thurston in late 1981: If is a compact, connected, orientable, irreducible and topologically…