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Marsden Memorial Lecture: The constraint manifold of general relativity Schoen, Richard
Description
The global study of the space of solutions of the Einstein constraint equations goes back to work of Jerry Marsden and co-workers in the early 1970’s. Since that time the subject has evolved in interesting ways. First it has been possible to localize the deformation theory in certain cases to deform solutions inside a chosen region without changing them outside. A second issue which arises in the deformation theory is a derivative loss problem which occurs when one attempts to place a manifold structure on the constraint manifold of solutions with a finite degree of differentiability. In this general lecture we will give an overview of these issues and developments.
Item Metadata
Title |
Marsden Memorial Lecture: The constraint manifold of general relativity
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-07-19T16:04
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Description |
The global study of the space of solutions of the Einstein constraint equations
goes back to work of Jerry Marsden and co-workers in the early 1970’s. Since that time
the subject has evolved in interesting ways. First it has been possible to localize the
deformation theory in certain cases to deform solutions inside a chosen region without
changing them outside. A second issue which arises in the deformation theory is a
derivative loss problem which occurs when one attempts to place a manifold structure
on the constraint manifold of solutions with a finite degree of differentiability. In this
general lecture we will give an overview of these issues and developments.
|
Extent |
67 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 California Irvine
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Series | |
Date Available |
2017-01-18
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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 |
10.14288/1.0340753
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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