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Abstract We develop new algorithms for approximating extremal toric Kähler metrics. We focus on an extremal metric on , which is conformal to an Einstein metric (the Chen–LeBrun–Weber metric). We… Click to show full abstract
Abstract We develop new algorithms for approximating extremal toric Kähler metrics. We focus on an extremal metric on , which is conformal to an Einstein metric (the Chen–LeBrun–Weber metric). We compare our approximation to one given by Bunch and Donaldson and compute various geometric quantities. In particular, we demonstrate a small eigenvalue of the scalar Laplacian of the Einstein metric that gives numerical evidence that the Einstein metric is conformally unstable under Ricci flow.
Keywords:
hler;
hler metrics;
einstein metric;
toric hler;
numerical approximations;
extremal toric
Journal Title: Proceedings of the Edinburgh Mathematical Society
Year Published: 2017
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Journal Title: Proceedings of the Edinburgh Mathematical Society
Year Published: 2017
Link to full text (if available)
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recommendations!