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Partial data lens rigidity problem for magnetic systems Zhou, Hanming
Description
In this talk we consider the lens rigidity problem with partial data for conformal metrics, in the presence of a magnetic field, on a compact manifold with boundary. We show that one can uniquely determine the conformal factor and the magnetic field near a strictly convex (with respect to magnetic geodesics) boundary point where the lens data is accessible. The local result also leads to a global lens rigidity result under some global foliation assumption.
Item Metadata
Title |
Partial data lens rigidity problem for magnetic systems
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-06-02T15:12
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Description |
In this talk we consider the lens rigidity problem with partial data for conformal metrics, in the presence of a magnetic field, on a compact manifold with boundary. We show that one can uniquely determine the conformal factor and the magnetic field near a strictly convex (with respect to magnetic geodesics) boundary point where the lens data is accessible. The local result also leads to a global lens rigidity result under some global foliation assumption.
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Extent |
32 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 Cambridge
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Series | |
Date Available |
2017-01-26
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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 |
10.14288/1.0340034
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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