29 citations · 187 across the 52 of their papers we have counts for
4 papers · 1 filter
Polyhedral Finsler spaces with locally unique geodesics
Dmitri Burago, Sergei Ivanov
We study Finsler PL spaces, that is simplicial complexes glued out of simplices cut off from some normed spaces. We are interested in the class of Finsler PL spaces featuring local…
Uniform approximation of metrics by graphs
Dmitri Burago, Sergei Ivanov
We say that a metric graph is uniformly bounded if the degrees of all vertices are uniformly bounded and the lengths of edges are pinched between two positive constants; a metric s…
Manifolds without conjugate points and their fundamental groups
Sergei Ivanov, Vitali Kapovitch
We show that in the fundamental groups of closed manifolds without conjugate points centralizers of all elements virtually split.
Minimality of planes in normed spaces
Dmitri Burago, Sergei Ivanov
We prove that a region in a two-dimensional affine subspace of a normed space has the least 2-dimensional Hausdorff measure among all compact surfaces with the same boundary. F…