On interrelation between the problem of unique determination of a domain in \(\mathbb{R}^n\) and a problem of recovery of a locally Euclidean metric
type: Item
instance of: scholarly article
title: On interrelation between the problem of unique determination of a domain in \(\mathbb{R}^n\) and a problem of recovery of a locally Euclidean metric
zbMATH Open document ID: 0894.53043
DOI: 10.1007/BF00971139
published in: Siberian Mathematical Journal
publication date: 1993-03-28T00:00:00Z
Mathematics Subject Classification ID: 53C23
Mathematics Subject Classification ID: 58D17
zbMATH DE Number: 130844
zbMATH Keywords: non-schlicht domains
zbMATH Keywords: locally Euclidean metrics
author: Victor Alexandrov
MaRDI profile type: Publication
cites work: Stability of isometric mappings
cites work: Q4069454
cites work: Isometry of domains in \({\mathbb{R}}^ n\) and relative isometry of their boundaries. II
cites work: Foundations of geometry
cites work: Uniqueness of domains with non-Jordan boundaries
cites work: Q5753127
cites work: Q3797892
cites work: Q4014122
cites work: Q4076210
cites work: Q4150304
cites work: Q3851258
cites work: Q3771200
cites work: Q3806332
cites work: Sur la rigidite imposee par la longueur des geodesiques
cites work: Filling Riemannian manifolds
cites work: Rigidity for surfaces of non-positive curvature
cites work: Q3477632
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description: scientific article; zbMATH DE number 130844