Darboux transformations for the twisted so(p, q) system and local isometric immersion of space forms

DOI10.1088/0266-5611/14/5/018zbMath0913.35127arXivsolv-int/9808006OpenAlexW2085369949MaRDI QIDQ4218611

Zi-Xiang Zhou

Publication date: 15 November 1998

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9808006

zbMATH Keywords

flat normal bundleDarboux transformationslocal isometric immersion

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (3)

Recursion operator for the intrinsic generalized sine-Gordon equation ⋮ Ribaucour transformations for isometric immersions of pseudo-Riemannian space forms ⋮ \(N\)-soliton solutions for a \((2+1)\)-dimensional breaking soliton equation with self-consistent sources

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