Hessian surfaces and local Lagrangian embeddings

DOI10.1016/j.anihpc.2017.07.003zbMath1385.53072OpenAlexW2737860289MaRDI QIDQ1706715

Peng Zhang

Publication date: 28 March 2018

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2017.07.003

zbMATH Keywords

Gauss-Codazzi systemHessian metricLagrangian surfaceslocal embedding

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Lagrangian submanifolds; Maslov index (53D12) Affine differential geometry (53A15) Systems of nonlinear first-order PDEs (35F50)

Cites Work

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• Legendrian energy minimizers. I: Heisenberg group target
• On isometric Lagrangian immersions
• Lectures on symplectic geometry

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