Extremal metrics on toric surfaces: a continuity method
Donaldson, S. K.
J. Differential Geom., Tome 78 (2008) no. 1, p. 389-432 / Harvested from Project Euclid
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The paper develops an existence theory for solutions of the Abreu equation, which include extremal metrics on toric surfaces. The technique employed is a continuity method, combined with “blow-up” arguments. General existence results are obtained, assuming a hypothesis (the “M-condition”) on the solutions, which is shown to be related to the injectivity radius.
Publié le : 2008-07-15
Classification:  
@article{1213798183,
     author = {Donaldson, S. K.},
     title = {Extremal metrics on toric surfaces: a continuity method},
     journal = {J. Differential Geom.},
     volume = {78},
     number = {1},
     year = {2008},
     pages = { 389-432},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1213798183}
}

Donaldson, S. K. Extremal metrics on toric surfaces: a continuity method. J. Differential Geom., Tome 78 (2008) no. 1, pp.  389-432. http://gdmltest.u-ga.fr/item/1213798183/