1 citations · 2 across the 5 of their papers we have counts for
5 papers
Problems of unique determination of domains by the relative metrics on their boundaries
Anatoly P. Kopylov
This survey is devoted to discussing the problems of the unique determination of surfaces that are the boundaries of (generally speaking) nonconvex domains. First (in Sec. 2) we ex…
On the Unique Determination of Domains by the Condition of the Local Isometry of the Boundaries in the Relative Metrics
Anatoly P. Kopylov
The article contains the results of the author's recent investigations of rigidity problems of domains in Euclidean spaces carried out for developing a new approach to the classica…
Unique Determination of Polyhedral Domains in () and -Moduli of Path Families
Anatoly P. Kopylov
This paper is an extension of the author's lecture "Unique Determination of Polyhedral Domains and -Moduli of Path Families" given at the International Conference "Metric Geomet…
Rigidity Conditions for the Boundaries of Submanifolds in a Riemannian Manifold
Anatoly P. Kopylov, Mikhail V. Korobkov
Developing A.D. Aleksandrov's ideas, the first-named author of this article proposed the following approach to study of rigidity problems for the boundary of a -submanifold in…
On Properties of the Intrinsic Geometry of Submanifolds in a Riemannian Manifold
Anatoly P. Kopylov, Mikhail V. Korobkov
In the paper we study the properties of a metric function which is the extension by continuity of the intrinsic metric of the interior of a submanifold to its boundary. This approa…