Problems of unique determination of domains by the relative metrics on their boundaries
- 作者: Kopylov A.1,2
-
隶属关系:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- 期: 卷 38, 编号 3 (2017)
- 页面: 476-487
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199274
- DOI: https://doi.org/10.1134/S1995080217030179
- ID: 199274
如何引用文章
详细
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 examine some results on the problem of the unique determination of domains by the relative metrics of the boundaries. Then, in Sec. 3, we study rigidity conditions for the boundaries of submanifolds in a Riemannian manifold. The final part (Sec. 4) is concernedwith the unique determination of domains by the condition of the local isometry of boundaries in the relative metrics.
作者简介
A. Kopylov
Sobolev Institute of Mathematics; Novosibirsk State University
编辑信件的主要联系方式.
Email: apkopylov@yahoo.com
俄罗斯联邦, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090