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- W3028744216 abstract "Let (M,g) a compact Riemannian n-dimensional manifold with umbilic boundary. It is well known that, under certain hypothesis, in the conformal class of g there are scalar-flat metrics that have ∂M as a constant mean curvature hypersurface. In this paper we prove that these metrics are a compact set, provided n=8 and the Weyl tensor of the boundary is always different from zero, or if n>8 and the Weyl tensor of M is always different from zero on the boundary." @default.
- W3028744216 created "2020-06-05" @default.
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- W3028744216 date "2020-11-01" @default.
- W3028744216 modified "2023-09-29" @default.
- W3028744216 title "Compactness for conformal scalar-flat metrics on umbilic boundary manifolds" @default.
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- W3028744216 doi "https://doi.org/10.1016/j.na.2020.111992" @default.
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