Equations of isometric imbeddings in three-dimensional Euclidean space of two-dimensional manifolds of negative curvature

DOI10.1007/BF01138942zbMath0499.53004WikidataQ124884192 ScholiaQ124884192MaRDI QIDQ1171763

E. V. Shikin

Publication date: 1982

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

two-dimensional manifoldsDarboux's methodisometric imbeddingsequations of Gauss and Codazzi

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Surfaces in Euclidean and related spaces (53A05)

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The global classical solution and asymptotic behavior of the Cauchy problem for hyperbolic Monge-Ampère equation

Cites Work

• Isometric embedding of two-dimensional manifolds of negative curvature by the Darboux method
• Gaussian Curvature and Local Embedding
• On Hyperbolic Partial Differential Equations
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