BIHARMONIC LAGRANGIAN SUBMANIFOLDS IN KÄHLER MANIFOLDS

DOI10.1017/S0017089512000730zbMath1281.58009arXiv1203.4092OpenAlexW2963762258MaRDI QIDQ4916854

Shun Maeta, Hajime Urakawa

Publication date: 26 April 2013

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.4092

zbMATH Keywords

Kähler manifoldLagrangian submanifoldbiharmonic maps

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Lagrangian submanifolds; Maslov index (53D12)

Related Items (12)

Some recent progress of biharmonic submanifolds ⋮ Biharmonic submanifolds of Kaehler product manifolds ⋮ Geometry of Sasaki manifolds, Kähler cone manifolds and bi-harmonic submanifolds ⋮ Biharmonic surfaces with parallel mean curvature in complex space forms ⋮ Properly immersed submanifolds in complete Riemannian manifolds ⋮ Sasaki manifolds, Kähler cone manifolds and biharmonic submanifolds ⋮ Unnamed Item ⋮ Biharmonic submanifolds of generalized space forms ⋮ Biharmonic maps on principal \(G\)-bundles over complete Riemannian manifolds of nonpositive Ricci curvature ⋮ On biharmonic submanifolds in non-positively curved manifolds ⋮ f-biharmonic integral submanifolds in generalized sasakian space forms ⋮ Harmonic maps and biharmonic Riemanian submersions

Cites Work

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• Surfaces with parallel normalized mean curvature vector
• Representation of flat Lagrangian \(H\)-umbilical submanifolds in complex Euclidean spaces
• Complex extensors and Lagrangian submanifolds in complex Euclidean spaces
• Interaction of Legendre curves and Lagrangian submanifolds
• Twistor holomorphic Lagrangian surfaces in the complex projective and hyperbolic planes
• BIHARMONIC LAGRANGIAN SURFACES OF CONSTANT MEAN CURVATURE IN COMPLEX SPACE FORMS

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