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.
Construction of homogeneous Lagrangian submanifolds in CP^n and Hamiltonian stability / Fabio Podesta'; David Petrecca. - In: TOHOKU MATHEMATICAL JOURNAL. - ISSN 0040-8735. - STAMPA. - 64:(2012), pp. 261-268. [10.2748/tmj/1341249374]
Construction of homogeneous Lagrangian submanifolds in CP^n and Hamiltonian stability
PODESTA', FABIO;
2012
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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