Numerical approximations to extremal metrics on toric surfaces
نویسندگان
چکیده
This is a report on numerical work on extremal Kahler metrics on toric surfaces, using the ideas developed in [3]. These are special Riemannian metrics on manifolds of 4 real, or 2 complex dimensions. They can be regarded as solutions of a fourth order partial differential equation for a convex function on a polygon. We refer to the preceding article [4] for further background. Motivation for this kind of work can be found in at least three different sources:
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تاریخ انتشار 2008