Fundamental theorems of Lagrangian surfaces in \(S^{2}\times S^{2}\)

zbMath1131.53044MaRDI QIDQ2472326

Kaoru Suizu, Makoto Kimura

Publication date: 21 February 2008

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1199719407

zbMATH Keywords

angle functionsminimal Lagrangian immersions

Mathematics Subject Classification ID

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

Related Items (4)

A fundamental theorem for hypersurfaces in semi-Riemannian warped products ⋮ Constant angle surfaces in product spaces ⋮ Unnamed Item ⋮ On the geometry of hypersurfaces in \({\mathbb{S}}^2 \times{\mathbb{S}}^2 \)

Cites Work

• Integral geometry and Hamiltonian volume minimizing property of a totally geodesic Lagrangian torus in \(S^ 2\times S^ 2\).
• On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry
• Some integral formulas and their applications to hypersurfaces of \(S^n\times S^n\)
• Totally geodesic submanifolds of symmetric spaces. I
• Intrinsic and extrinsic structures of Lagrangian surfaces in complex space forms
• Minimal Lagrangian surfaces in \(\mathbb S^2 \times \mathbb S^2\)
• Lectures on symplectic geometry

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