Literature cited
T. Garibe, “Surfaces with constant exterior and interior geometry in E4,” Ukr. Geom. Sb.,24, 12–18 (1981).
T. Garibe, “Two-dimensional surfaces with constant exterior geometry in E5,” Ukr. Geom. Sb.,25, 11–22 (1982).
S. B. Kadomtsev, “On a certain property of the group of motions of the Lobachevskii plane,” Mat. Zametki,35, No. 1, 107–110 (1984).
L. Bieberbach, “Eine singularitatensfreie Flache konstanter negativer Krummung im Hilbertischen Raum,” Comm. Math. Helv.,4, 248–255 (1932).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 47, No. A, pp. 41–45, April, 1990.
The author is deeply grateful to É. G. Poznyak for a fruitful discussion of the problem.
Rights and permissions
About this article
Cite this article
Kadomtsev, S.B. Surfaces with constant exterior geometry of negative curvature. Mathematical Notes of the Academy of Sciences of the USSR 47, 339–341 (1990). https://doi.org/10.1007/BF01163814
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01163814