Pseudo-parallel Lagrangian submanifolds in complex space forms

DOI10.1016/j.difgeo.2008.06.014zbMath1158.53057OpenAlexW2022762631WikidataQ115357454 ScholiaQ115357454MaRDI QIDQ1002011

Pablo M. Chacón, Guillermo Antonio Lobos

Publication date: 20 February 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.2008.06.014

zbMATH Keywords

minimal submanifoldLagrangian submanifoldcomplex space formLegendre curvepseudo-parallel submanifold

Mathematics Subject Classification ID

Global submanifolds (53C40) Lagrangian submanifolds; Maslov index (53D12)

Related Items (2)

Semi-parallel real hypersurfaces in complex two-plane Grassmannians ⋮ Pseudo-parallel Lagrangian submanifolds are semi-parallel

Cites Work

• Classification of Lagrangian surfaces of constant curvature in complex projective plane
• Semi-parallel surfaces in Euclidean space
• Isotropic totally real submanifolds
• Two theorems on Kähler manifolds
• Complex extensors and Lagrangian submanifolds in complex Euclidean spaces
• Interaction of Legendre curves and Lagrangian submanifolds
• Riemannian geometry of Lagrangian submanifolds
• Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). I: The local version
• Minimal Lagrangian submanifolds in the complex hyperbolic space
• Flat totally real submanifolds of \(CP^ n\) and the symmetric generalized wave equation
• Tensor product surfaces of Euclidean plane curves
• Three additional families of Lagrangian surfaces of constant curvature in complex projective plane
• Classification of Lagrangian surfaces of constant curvature in complex hyperbolic plane
• Pseudo-parallel submanifolds of a space form
• Lagrangian isometric immersions of a real-space-form Mⁿ(c) into a complex-space-form M˜ⁿ(4c)
• PSEUDO-PARALLEL REAL HYPERSURFACES IN COMPLEX SPACE FORMS
• On Totally Real Submanifolds
• PSEUDO-PARALLEL SUBMANIFOLDS WITH FLAT NORMAL BUNDLE OF SPACE FORMS
• CLASSIFICATION OF LAGRANGIAN SURFACES OF CONSTANT CURVATURE IN THE COMPLEX EUCLIDEAN PLANE
• Isotropic and Kähler Immersions
• Maslovian Lagrangian surfaces of constant curvature in complex projective or complex hyperbolic planes
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