The vectorial Ribaucour transformation for submanifolds of constant sectional curvature

DOI10.1007/s12220-017-9892-2zbMath1439.53063arXiv1706.02405OpenAlexW2964118197MaRDI QIDQ1710244

Peng Zhang

Publication date: 16 January 2019

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.02405

zbMATH Keywords

Lyapunov equationLagrangian submanifoldBianchi-cube theoremdecomposition theorem for \(L\)-transformationsubmanifolds of constant curvaturevectorial Ribaucour transformation

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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