29 citations · 92 across the 16 of their papers we have counts for
Showing 2012Show all
3 papers · 1 filter
math.MG2012★ 4 cited
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…
math.MG2012
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…
math.MG2012★ 15 cited
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…