Biminimal Lagrangian surfaces of constant mean curvature in complex space forms

DOI10.1016/J.DIFGEO.2009.07.001zbMath1176.53062OpenAlexW2054468585WikidataQ115357209 ScholiaQ115357209MaRDI QIDQ734722

Toru Sasahara

Publication date: 13 October 2009

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2009.07.001

zbMATH Keywords

Lagrangian surfacesbiminimal surfaces

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)

Related Items (5)

Biminimal hypersurfaces in a sphere ⋮ Classification results for \(\lambda\)-biminimal surfaces in 2-dimensional complex space forms ⋮ A class of biminimal Legendrian submanifolds in Sasakian space forms ⋮ A classification result for biminimal Lagrangian surfaces in complex space forms ⋮ Biminimal Lagrangian \(H\)-umbilical submanifolds in complex space forms

Cites Work

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• Calibrated geometries
• Volume minimization of Lagrangian submanifolds under Hamiltonian deformations
• Riemannian geometry of Lagrangian submanifolds
• Mirror symmetry is \(T\)-duality
• Biminimal Legendrian surfaces in 5-dimensional Sasakian space forms
• BIMINIMAL IMMERSIONS
• BIHARMONIC LAGRANGIAN SURFACES OF CONSTANT MEAN CURVATURE IN COMPLEX SPACE FORMS
• Harmonic Mappings of Riemannian Manifolds
• Addendum to: Existence and uniqueness theorem for slant immersions and its applications

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