Construction of homogeneous Lagrangian submanifolds in \CPⁿ and Hamiltonian stability

2010/11/14 by David Petrecca, Fabio Podestà, Petrecca, David +2
Mathematics · Physics and Astronomy · #32J27 #53D12 #57S25 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:32J27 #msc:53D12 #msc:57S25

paper · pdf · doi:10.48550/arxiv.1011.3252

arxiv created 2010/11/14 · openalex publication_date 2010/11/14 · arxiv updated 2010/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We apply the concept of castling transform of prehomogeneous vector spaces to produce new examples of minimal homogeneous Lagrangian submanifolds in the complex projective space. Furthermore we verify the Hamiltonian stability of a low dimensional example that can be obtained in this way.

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