The Guillemin formula and Kaehler metrics on toric symplectic manifolds
David M. J. Calderbank, Liana David, Paul Gauduchon
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.
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