scientific article

zbMath1167.53046arXivmath/0101249MaRDI QIDQ3616065

Dominic David Joyce

Publication date: 24 March 2009

Full work available at URL: https://arxiv.org/abs/math/0101249

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

harmonic mapminimal submanifoldintegrable systemspectral curveloop groupsspecial Lagrangian submanifoldTzitzéica equationpolynomial Killing fieldscalibrated geometryToda lattice equations

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Differential geometric aspects of harmonic maps (53C43) Foliations (differential geometric aspects) (53C12) Partial differential equations on manifolds; differential operators (58J99) Calibrations and calibrated geometries (53C38) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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Minimal Legendrian submanifolds of \(S^{2n+1}\) and absolutely area-minimizing cones ⋮ Hamiltonian stationary Lagrangian surfaces in \(\mathbb C \mathbb{P}^{2}\) ⋮ Calibrated Submanifolds ⋮ Pseudoconvexity for the special Lagrangian potential equation ⋮ Minimal Lagrangian surfaces in \(\mathbb{C}P^2\) via the loop group method. I: The contractible case ⋮ On extending calibration pairs ⋮ Formal Killing fields for minimal Lagrangian surfaces in complex space forms ⋮ On a family of conformally flat minimal Lagrangian tori in \(\mathbb CP^{3}\) ⋮ Totally real minimal tori in \(\mathbb CP^2\) ⋮ A construction of special Lagrangian submanifolds by generalized perpendicular symmetries

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