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Pré-Publication, Document De Travail Année : 2011

Toric Generalized Kähler-Ricci Solitons with Hamiltonian 2-form

Résumé

We show that the generalized Kähler-Ricci soliton equation on 4-dimensional toric Kähler orbifolds reduces to ODEs assuming there is a Hamiltonian 2-form. This leads to an explicit resolution of this equation on labeled triangles and convex labeled quadrilaterals. In particular, we give the explicit expression of the Kähler-Ricci solitons of weighted projective planes as well as new examples.

Dates et versions

hal-00715600 , version 1 (08-07-2012)

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Eveline Legendre, Christina W. Tønnesen-Friedman. Toric Generalized Kähler-Ricci Solitons with Hamiltonian 2-form. 2011. ⟨hal-00715600⟩
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