Tohoku Mathematical Journal

Construction of homogeneous Lagrangian submanifolds in $\boldsymbol{CP}^n$ and Hamiltonian stability

David Petrecca and Fabio Podestà

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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.

Article information

Tohoku Math. J. (2), Volume 64, Number 2 (2012), 261-268.

First available in Project Euclid: 2 July 2012

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Primary: Primary
Secondary: Secondary 32J27: Compact Kähler manifolds: generalizations, classification 57S25: Groups acting on specific manifolds

Homogeneous spaces Lagrangian submanifolds Hamiltonian stability


Petrecca, David; Podestà, Fabio. Construction of homogeneous Lagrangian submanifolds in $\boldsymbol{CP}^n$ and Hamiltonian stability. Tohoku Math. J. (2) 64 (2012), no. 2, 261--268. doi:10.2748/tmj/1341249374.

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