Literature Cited
V. A. Aleksandrov and A. P. Kopylov, Boundary Values of almost Isometric Mappings, and the Uniqueness of Closed Convex Surfaces [in Russian], Tez. Dokl. Simpoz. po Geomtrii v Tselom i Osnovaniyam Teorii Otnositel'nosti, Novosibirsk (1982), pp. 3–4.
A. P. Kopylov, “Boundary values of almost isometric mappings,” Sib. Math. Zh.,25, No. 3, 120–131 (1984).
V. A. Aleksandrov, “Isometry of domains inR n and the relative isometry of their boundaries. I,” Sib. Math. Zh.,30, No. 1, 3–13 (1988).
V. A. Aleksandrov, “Isometry of domains inR n and the relative isometry of their boundaries. II,” Sib. Math. Zh.,26, No. 6, 3–8 (1985).
V. A. Aleksandrov, “Unique determination of domains by the relative metric of their boundaries,” Tr. In-ta, Mat. AN SSSR, Sib. otd-nie,7, Issledovaniya po Geometrii i Matematicheskomu Analizu, 5–18 (1987).
H. Whitney, Geometrical Theory of Integration [Russian translation], IL, Moscow (1960).
A. V. Kuz'minykh, “Isometry of domains whose boundaries are isometric in the relative metrics,” Sib. Math. Zh.,26, No. 3, 91–99 (1985).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 30, No. 1, pp. 3–12, January–February, 1989.
Rights and permissions
About this article
Cite this article
Aleksandrov, V.A. Uniqueness of domains with non-Jordan boundaries. Sib Math J 30, 1–8 (1989). https://doi.org/10.1007/BF01054209
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01054209