The Geometry of the Weil-Petersson Metric in Complex Dynamics
In this work, we study an analogue of the Weil-Petersson metric on the space of Blaschke products of degree 2 proposed by McMullen. We show that the Weil-Petersson metric is incomplete and study its metric completion. Our work parallels known results for the Teichmuller space of a punctured torus....
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| Language: | en_US |
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Harvard University
2014
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| Online Access: | http://dissertations.umi.com/gsas.harvard:11669 http://nrs.harvard.edu/urn-3:HUL.InstRepos:12274303 |
| Summary: | In this work, we study an analogue of the Weil-Petersson metric on the space of Blaschke products of degree 2 proposed by McMullen. We show that the Weil-Petersson metric is incomplete and study its metric completion. Our work parallels known results for the Teichmuller space of a punctured torus. === Mathematics |
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