RUS  ENG
Full version
JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 1993 Volume 34, Number 4, Pages 197–199 (Mi smj1644)

This article is cited in 1 paper

A uniqueness theorem for a surface with principal curvatures connected by the relation $(1-k_1d)(1-k_2d)=-1$

V. A. Toponogov


Abstract: The next theorem is proved: let $F$ be an oriented complete analytic surface in three-dimensional Euclidean space with principal curvatures satisfying the following relation: $(1-k_1d)(1-k_2d)=-1$ то $F$. Then $F$ is a direct circular cylinder.

UDC: 513.013

Received: 03.12.1992


 English version:
Siberian Mathematical Journal, 1993, 34:4, 767–769

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025