Tohoku Mathematical Journal
2012

June
SECOND SERIES VOL. 64, NO. 2

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

Title CONSTRUCTION OF HOMOGENEOUS LAGRANGIAN SUBMANIFOLDS IN $\boldsymbol{CP}^n$ AND HAMILTONIAN STABILITY

Author David Petrecca and Fabio Podestà

(Received November 22, 2010, revised September 12, 2011)
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.

2000 Mathematics Subject Classification. 2010 Primary 53D12; Secondary 32J27, 57S25.

Key words and phrases. Homogeneous spaces, Lagrangian submanifolds, Hamiltonian stability.

To the top of this page

Back to the Contents