Abstract
We define a new formal Riemannian metric on a conformal classes of four-manifolds in the context of the –Yamabe problem. Exploiting this new variational structure we show that solutions are unique unless the manifold is conformally equivalent to the round sphere.
Citation
Matthew Gursky. Jeffrey Streets. "A formal Riemannian structure on conformal classes and uniqueness for the $\sigma_2$–Yamabe problem." Geom. Topol. 22 (6) 3501 - 3573, 2018. https://doi.org/10.2140/gt.2018.22.3501
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