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Some existence and non-existence results for Poincare-Einstein metrics Gursky, Matt
Description
Abstract: I will begin with a brief overview of the existence question for conformally compact Einstein manifolds with prescribed conformal infinity. After stating the seminal result of Graham-Lee, I will mention a recent non-existence result (joint with Qing Han) for certain conformal classes on the 7-dimensional sphere. I will then discuss some ongoing work (with Gabor Szekelyhidi) on a version of "local existence" of Poincare-Einstein metrics.
Item Metadata
Title |
Some existence and non-existence results for Poincare-Einstein metrics
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-05-22T17:12
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Description |
Abstract: I will begin with a brief overview of the existence question for conformally compact Einstein manifolds with prescribed conformal infinity. After stating the seminal result of Graham-Lee, I will mention a recent non-existence result (joint with Qing Han) for certain conformal classes on the 7-dimensional sphere. I will then discuss some ongoing work (with Gabor Szekelyhidi) on a version of "local existence" of Poincare-Einstein metrics.
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Extent |
43 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of Notre-Dame
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Series | |
Date Available |
2017-11-18
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0357993
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International