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The $\sigma_{2}$
Yamabe problem on conic spheres, II: Boundary compactness of
the moduli
Hao Fang and Wei Wei |
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Vol. 311 (2021), No. 1, 33–51
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DOI: 10.2140/pjm.2021.311.33
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Abstract |
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We prove a convergence theorem on the moduli space of constant metrics for conic 4-spheres. We show that when a numerical condition is convergent to the boundary case, the geometry of conic 4-spheres converges to the boundary case while preserving capacity. |
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Keywords
$\sigma_2$ Yamabe, conic metric, boundary compactness
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Mathematical Subject Classification 2010
Primary: 53C25
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Milestones
Received: 24 September 2019
Revised: 29 July 2020
Accepted: 18 November 2020
Published: 17 March 2021
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Authors |
| Hao Fang | |
| Department of Mathematics University of Iowa Iowa City, IA 52242 United States |
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| Wei Wei | |
| Shanghai Center for Mathematical
Sciences Fudan University Shanghai 200438 China |
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