Construction of homogeneous Lagrangian submanifolds in $\boldsymbol{CP}^n$ and Hamiltonian stability
David Petrecca and Fabio Podestà
Source: Tohoku Math. J. (2) Volume 64, Number 2
(2012), 261-268.
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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Permanent link to this document: http://projecteuclid.org/euclid.tmj/1341249374
Digital Object Identifier: doi:10.2748/tmj/1341249374
Zentralblatt MATH identifier: 06074098
Mathematical Reviews number (MathSciNet): MR2948822
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