86 citations · 543 across the 59 of their papers we have counts for
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math.MG2006★ 3 cited
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…
math.RT2006★ 4 cited
Saturation and Irredundancy for Spin(8)
Michael Kapovich, Shrawan Kumar, John J. Millson
We explicitly calculate the triangle inequalities for the group PSO(8). Therefore we explicitly solve the eigenvalues of sum problem for this group (equivalently describing the sid…
math.DG2006★ 57 cited
Convex projective structures on Gromov--Thurston manifolds
Michael Kapovich
We consider Gromov-Thurston examples of negatively curved n-manifolds which do not admit metrics of constant sectional curvature. We show that for each n some of the Gromov-Thursto…