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A geometric characterization of asymptotic flatness Nerz, Christopher
Description
For the study of asymptotically flat manifolds in mathematical general relativity, surfaces of constant mean curvature (CMC) have proven to be a useful tool. In 1996, Huisken- Yau showed that any asymptotically flat Riemannian manifold is uniquely foliated by closed CMC surfaces. Since then, several authors have generalized their results in several directions. In this talk, I will discuss how these surfaces characterize the full asymptotic behavior of the surrounding initial data set: A Riemannian manifold is asymptotically flat if and only if it possesses suitable CMC-foliation
Item Metadata
Title |
A geometric characterization of asymptotic flatness
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-07-18T14:30
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Description |
For the study of asymptotically flat manifolds in mathematical general relativity, surfaces of constant mean curvature (CMC) have proven to be a useful tool. In 1996, Huisken- Yau showed that any asymptotically flat Riemannian manifold is uniquely foliated by closed CMC surfaces. Since then, several authors have generalized their results in several directions. In this talk, I will discuss how these surfaces characterize the full asymptotic behavior of the surrounding initial data set: A Riemannian manifold is asymptotically flat if and only if it possesses suitable CMC-foliation
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Extent |
25 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: KTH Stockholm
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Series | |
Date Available |
2017-02-01
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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 |
10.14288/1.0340734
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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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