Lagrangian Grassmann manifold Λ(2)

Abstract

Based on the relationship between symplectic group Sp(2) and Λ(2), we provide an intuitive explanation (model) of the 3-dimensional Lagrangian Grassmann manifold Λ(2), the singular cycles of Λ(2), and the special Lagrangian Grassmann manifold SΛ(2). Under this model, we give a formula of the rotation paths defined by Arnold.

Keywords

Lagrangian Grassmann manifold / Lagrangian plane / geometric representation / singular cycle

References

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