29 citations · 92 across the 16 of their papers we have counts for
4 papers · 1 filter
On the geometry of Riemannian isometric embeddings
Dmitri Burago, Hongda Qiu
This note pertains to isometric embeddings endowed with certain geometric properties. We study two embedding problems for a Riemannian manifold which is diffeomorphic to $\RR^n…
Boundary distance, lens maps and entropy of geodesic flows of Finsler metrics
Dmitri Burago, Sergei Ivanov
We show that a small perturbation of the boundary distance function of a simple Finsler metric on the -disc is also the boundary distance function of some Finsler metric. (Simpl…
On intrinsic geometry of surfaces in normed spaces
Dmitri Burago, Sergei Ivanov
We prove three facts about intrinsic geometry of surfaces in a normed (Minkowski) space. When put together, these facts demonstrate a rather intriguing picture. We show that (1) ge…
Area minimizers and boundary rigidity of almost hyperbolic metrics
Dmitri Burago, Sergei Ivanov
This paper is a continuation of our paper about boundary rigidity and filling minimality of metrics close to flat ones. We show that compact regions close to a hyperbolic one are b…