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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Bibliographic Details
Main Author:	Ivrii, Oleg
Other Authors:	McMullen, Curtis T.
Language:	en_US
Published:	Harvard University 2014
Subjects:	Mathematics
Online Access:	http://dissertations.umi.com/gsas.harvard:11669 http://nrs.harvard.edu/urn-3:HUL.InstRepos:12274303

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spelling	ndltd-harvard.edu-oai-dash.harvard.edu-1-122743032015-08-14T15:43:13ZThe Geometry of the Weil-Petersson Metric in Complex DynamicsIvrii, OlegMathematicsIn 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.MathematicsMcMullen, Curtis T.2014-06-06T18:55:47Z2014-06-0620142014-06-06T18:55:47ZThesis or DissertationIvrii, Oleg. 2014. The Geometry of the Weil-Petersson Metric in Complex Dynamics. Doctoral dissertation, Harvard University.http://dissertations.umi.com/gsas.harvard:11669http://nrs.harvard.edu/urn-3:HUL.InstRepos:12274303en_USopenhttp://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAAHarvard University
collection	NDLTD
language	en_US
sources	NDLTD
topic	Mathematics
spellingShingle	Mathematics Ivrii, Oleg The Geometry of the Weil-Petersson Metric in Complex Dynamics
description	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
author2	McMullen, Curtis T.
author_facet	McMullen, Curtis T. Ivrii, Oleg
author	Ivrii, Oleg
author_sort	Ivrii, Oleg
title	The Geometry of the Weil-Petersson Metric in Complex Dynamics
title_short	The Geometry of the Weil-Petersson Metric in Complex Dynamics
title_full	The Geometry of the Weil-Petersson Metric in Complex Dynamics
title_fullStr	The Geometry of the Weil-Petersson Metric in Complex Dynamics
title_full_unstemmed	The Geometry of the Weil-Petersson Metric in Complex Dynamics
title_sort	geometry of the weil-petersson metric in complex dynamics
publisher	Harvard University
publishDate	2014
url	http://dissertations.umi.com/gsas.harvard:11669 http://nrs.harvard.edu/urn-3:HUL.InstRepos:12274303
work_keys_str_mv	AT ivriioleg thegeometryoftheweilpeterssonmetricincomplexdynamics AT ivriioleg geometryoftheweilpeterssonmetricincomplexdynamics
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The Geometry of the Weil-Petersson Metric in Complex Dynamics

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