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

DOI10.1007/BF00971139zbMath0894.53043MaRDI QIDQ1204758

Victor Alexandrov

Publication date: 28 March 1993

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

locally Euclidean metricsnon-schlicht domains

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (1)

Some New Homogeneous Einstein Metrics on Symmetric Spaces

Cites Work

• Stability of isometric mappings
• Rigidity for surfaces of non-positive curvature
• Filling Riemannian manifolds
• Isometry of domains in \({\mathbb{R}}^ n\) and relative isometry of their boundaries. II
• Sur la rigidite imposee par la longueur des geodesiques
• Uniqueness of domains with non-Jordan boundaries
• Foundations of geometry
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