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Positive mass theorem and the CR Yamabe equation on 5-dimensional contact spin manifolds Cheng, Jih-Hsin
Description
We consider the CR Yamabe equation with critical Sobolev ex-ponent on a closed contact manifold M of dimension 2n + 1. The problem of finding solutions with minimum energy has been resolved for all dimensions except for dimension 5 (n = 2). In this paper we prove the existence of minimum energy solutions in the 5-dimensional case when M is spin. The proof is based on a positive mass theorem built up through a spinorial approach. This is joint work with Hung-Lin Chiu.
Item Metadata
Title |
Positive mass theorem and the CR Yamabe equation on 5-dimensional contact spin manifolds
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2021-05-17T06:30
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Description |
We consider the CR Yamabe equation with critical Sobolev ex-ponent on a closed contact manifold M of dimension 2n + 1. The problem of finding solutions with minimum energy has been resolved for all dimensions except for dimension 5 (n = 2). In this paper we prove the existence of minimum energy solutions in the 5-dimensional case when M is spin. The proof is based on a positive mass theorem built up through a spinorial approach. This is joint work with Hung-Lin Chiu.
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Extent |
21.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Academia Sinica Taipei
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Series | |
Date Available |
2023-10-21
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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 |
10.14288/1.0437242
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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 Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International