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arXiv · 1909.13418

$σ_{2}$ Yamabe problem on conic spheres II:boundary compactness of the moduli

Hao Fang·Wei Wei
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Abstract

We prove a convergence theorem on the moduli space of constant $σ_{2}$ 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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Hao Fang, Wei Wei. 2020-07-29. $σ_{2}$ Yamabe problem on conic spheres II:boundary compactness of the moduli. https://doi.org/10.2140/pjm.2021.311.33

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