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Pseudospherical surfaces of low differentiability

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Publication:907845
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DOI10.1515/advgeom-2015-0039zbMath1346.53011arXiv1301.5679OpenAlexW2315632219MaRDI QIDQ907845

Ivan C. Sterling, Josef F. Dorfmeister

Publication date: 26 January 2016

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.5679


zbMATH Keywords

loop groupsasymptotic immersionsChebyshev immersionsconstant Gauss curvature surfacesHilbert's problemToda's algorithm


Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Surfaces in Euclidean and related spaces (53A05) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)


Related Items (1)

Distributed branch points and the shape of elastic surfaces with constant negative curvature




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