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- W2963276039 abstract "Abstract On a manifold ( R n , e 2 u | d x | 2 ) , we say u is normal if the Q-curvature equation that u satisfies ( − Δ ) n 2 u = Q g e n u can be written as the integral form u ( x ) = 1 c n ∫ R n log | y | | x − y | Q g ( y ) e n u ( y ) d y + C . In this paper, we show that the integrability assumption on the negative part of the scalar curvature implies the metric is normal. As an application, we prove a bi-Lipschitz equivalence theorem for conformally flat metrics." @default.
- W2963276039 created "2019-07-30" @default.
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- W2963276039 date "2018-08-01" @default.
- W2963276039 modified "2023-09-29" @default.
- W2963276039 title "Integrability of scalar curvature and normal metric on conformally flat manifolds" @default.
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- W2963276039 doi "https://doi.org/10.1016/j.jde.2018.04.008" @default.
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