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The Guillemin formula and Kaehler metrics on toric symplectic manifolds

David M. J. Calderbank·Liana David·Paul Gauduchon
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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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BibTeXRIS

David M. J. Calderbank, Liana David, Paul Gauduchon. 2003-10-16. The Guillemin formula and Kaehler metrics on toric symplectic manifolds. https://arxiv.org/abs/math/0310243

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