The geometry of the Weil-Petersson metric in complex dynamics

The geometry of the Weil-Petersson metric in complex dynamics

by Oleg Ivrii

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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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