## Tohoku Mathematical Journal

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

#### 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.

#### Article information

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

Dates
First available in Project Euclid: 2 July 2012

https://projecteuclid.org/euclid.tmj/1341249374

Digital Object Identifier
doi:10.2748/tmj/1341249374

Mathematical Reviews number (MathSciNet)
MR2948822

Zentralblatt MATH identifier
1252.53091

#### Citation

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. https://projecteuclid.org/euclid.tmj/1341249374

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