Abstract:
It is proved that any regular isometric immersion of a Euclidean plane in (three-dimensional) Lobachevskii space is either a homeomorphism onto an orisphere or a covering of the surface formed by the rotation of an equidistant about its base.
Citation:
Yu. A. Volkov, S. M. Vladimirova, “Isometric immersions of a Euclidean plane in Lobachevskii space”, Mat. Zametki, 10:3 (1971), 327–332; Math. Notes, 10:3 (1971), 619–622