Isometric immersions of domains of Lobachevski space in Euclidean spaces

DOI10.1007/BF02364871zbMATH Open0947.53003MaRDI QIDQ1303370

Yu. A. Aminov

Publication date: 5 October 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/68759

zbMATH Keywords

Hilbert problemhyperbolic spacespace formconstant Gauss curvaturepseudospherical immersion

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items (3)

The isometric imbedding in \(E^ 3\) of the convex region of Lobachevskij plane containing a horicircle ⋮ On the Sobolev space of isometric immersions ⋮ On isometric immersions in \(E^3\) of noncompact domains on the Lobachevsky plane whose boundaries possess a countable set of points on the absolute

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