Cyclic and ruled Lagrangian surfaces in Euclidean four space

DOI10.1007/s00574-009-0015-yzbMath1175.53084arXivmath/0703645OpenAlexW1627662300MaRDI QIDQ734076

Pascal Romon, Henri Anciaux

Publication date: 19 October 2009

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703645

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Lagrangian submanifolds; Maslov index (53D12)

Related Items (4)

Construction of Hamiltonian-minimal Lagrangian submanifolds in complex Euclidean space ⋮ Construction of Lagrangian self-similar solutions to the mean curvature flow in \(\mathbb C^n\) ⋮ Two non existence results for the self-similar equation in Euclidean 3-space ⋮ Lagrangian surfaces of constant angle in the complex Euclidean plane

Cites Work

• Hopf tori in \(S^ 3\)
• The normalized curve shortening flow and homothetic solutions
• Complex extensors and Lagrangian submanifolds in complex Euclidean spaces
• Lagrangian helicoids
• On a minimal Lagrangian submanifold of \(\mathbf C^n\) foliated by spheres
• Hamiltonian stationary Lagrangian surfaces in \(\mathbb{C}^2\)
• Hamiltonian-minimal Lagrangian submanifolds in complex space forms
• Lagrangian surfaces in complex Euclidean plane via spherical and hyperbolic curves
• Construction of Lagrangian surfaces in complex Euclidean plane with Legendre curves
• Construction of Lagrangian self-similar solutions to the mean curvature flow in \(\mathbb C^n\)
• Lagrangian submanifolds foliated by \((n-1)\)-spheres in \(\mathbb R^{2n}\)

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