Hamiltonian-minimal Lagrangian submanifolds in toric varieties

@article{Mironov2013HamiltonianminimalLS,
  title={Hamiltonian-minimal Lagrangian submanifolds in toric varieties},
  author={Andrey Mironov and Taras Panov},
  journal={Russian Mathematical Surveys},
  year={2013},
  volume={68},
  pages={392-394}
}
  • Andrey Mironov, Taras Panov
  • Published 2013
  • Mathematics
  • Russian Mathematical Surveys
  • Hamiltonian minimality (H-minimality) for Lagrangian submanifolds is a symplectic analogue of Riemannian minimality. A Lagrangian submanifold is called H-minimal if the variations of its volume along all Hamiltonian vector fields are zero. This notion was introduced in the work of Y.-G. Oh in connection with the celebrated Arnold conjecture on the number of fixed points of a Hamiltonian symplectomorphism. In the previous works the authors defined and studied a family of H-minimal Lagrangian… CONTINUE READING

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