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math.RT2002★ 5 cited
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…
math.DG2002
Conformally flat metrics on 4-manifolds
Michael Kapovich
We prove that for each closed smooth spin 4-manifold M there exists a closed smooth 4-manifold N such that the connected sum M # N admits a conformally flat Riemannian metric.