English

The Guillemin formula and Kaehler metrics on toric symplectic manifolds

Differential Geometry 2007-05-23 v1 Algebraic Geometry Symplectic Geometry

Abstract

We discuss the construction of toric Kaehler metrics on symplectic 2n-manifolds with a hamiltonian n-torus action and present a simple derivation of the Guillemin formula for a distinguished Kaehler metric on any such manifold. The results also apply to orbifolds.

Keywords

Cite

@article{arxiv.math/0310243,
  title  = {The Guillemin formula and Kaehler metrics on toric symplectic manifolds},
  author = {David M. J. Calderbank and Liana David and Paul Gauduchon},
  journal= {arXiv preprint arXiv:math/0310243},
  year   = {2007}
}

Comments

12 pages