Toric Generalized Kähler-Ricci Solitons with Hamiltonian 2-form

Details Toric Generalized Kähler-Ricci Solitons with Hamiltonian 2-form Toric Generalized Kähler-Ricci Solitons with Hamiltonian 2-form

2011-03-24

arxiv.org/abs/1103.4706v1

Mathematics

Differential Geometry

29 pages, no figure

Scientific paper

We show that the generalized K\"ahler-Ricci soliton equation on 4-dimensional toric K\"ahler 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 K\"ahler-Ricci solitons of weighted projective planes as well as new examples.

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