Regular isometric immersion in the large of two-dimensional metrics of nonpositive curvature

D. V. Tunitsky


Abstract: The author proves the possibility of a regular isometric immersion in three-dimensional Euclidean space of certain classes of unbounded domains on complete Riemannian manifolds of nonpositive curvature that are homeomorphic to the plane. This is an extension and development of the results of the author published in [1] and [2].

UDC: 514.764.254

MSC: 53C21, 53C25, 53C42

Received: 24.05.1991

 English version: Russian Academy of Sciences. Sbornik. Mathematics, 1993, 76:2, 317–329

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