The denominators of Lagrangian surfaces in complex Euclidean plane

DOI10.1007/s10455-007-9100-xzbMath1156.53052OpenAlexW2132972490MaRDI QIDQ934647

Katsuhiro Moriya

Publication date: 30 July 2008

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://tsukuba.repo.nii.ac.jp/record/18300/files/AGAG_34-1.pdf

zbMATH Keywords

conformal geometry of surfacesLagrangian branched immersionsquaternionic holomorphic bundles

Mathematics Subject Classification ID

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

Related Items (3)

Twistor lifts and factorization for conformal maps from a surface to the Euclidean four-space ⋮ On the compactness of Hamiltonian stationary Lagrangian surfaces in Kähler surfaces ⋮ A factorization of a super-conformal map

Cites Work

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• Generalized analytic functions on Riemann surfaces
• Quaternionic analysis on Riemann surfaces and differential geometry
• Lagrangian surfaces in the complex Euclidean plane with conformal Maslov form
• Weierstrass representation of Lagrangian surfaces in four-dimensional space using spinors and quaternions
• Quaternionic holomorphic geometry: Plücker formula, Dirac eigenvalue estimates and energy estimates of harmonic \(2\)-tori.
• Second variation and stabilities of minimal Lagrangian submanifolds in Kähler manifolds
• Conformal geometry of surfaces in \(S^4\) and quaternions

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