Toric Generalized K\"ahler-Ricci Solitons with Hamiltonian 2-form
Differential Geometry
2012-09-05 v2 Symplectic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.1103.4706,
title = {Toric Generalized K\"ahler-Ricci Solitons with Hamiltonian 2-form},
author = {Eveline Legendre and Christina W. Tønnesen-Friedman},
journal= {arXiv preprint arXiv:1103.4706},
year = {2012}
}
Comments
32 pages, no figure. Applications to Sasaki-Ricci soliton added; presentation clarified