Special Lagrangian linear subspaces in product symplectic space

• Autorzy: Małgorzata Mikosz
• Języki publikacji: EN

Abstrakty

EN

The notes consist of a study of special Lagrangian linear subspaces. We will give a condition for the graph of a linear symplectomorphism $f:(ℝ^{2n},σ = ∑_{i=1}^{n} dx_i ∧ dy_i) → (ℝ^{2n},σ)$ to be a special Lagrangian linear subspace in $(ℝ^{2n} × ℝ^{2n},ω = π*₂σ - π*₁σ)$. This way a special symplectic subset in the symplectic group is introduced. A stratification of special Lagrangian Grassmannian $SΛ_{2n} ≃ SU(2n)/SO(2n)$ is defined.

Kategorie tematyczne

• 53C38: Calibrations and calibrated geometries
• 53D12: Lagrangian submanifolds; Maslov index
• 15A03: Vector spaces, linear dependence, rank
• 51A50: Polar geometry, symplectic spaces, orthogonal spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2004
• Tom: 65
• Numer: 1
• Strony: 151-156

Daty

wydano

2004

Twórcy

autor

Małgorzata Mikosz

• Faculty of Mathematics and Information Science, Warsaw University of Technology, Plac Politechniki 1, 00-661 Warszawa, Poland

Identyfikatory

DOI

10.4064/bc65-0-11