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- W2973548254 abstract "We derive an integral inequality between the mean curvature and the scalar curvature of the boundary of any scalar flat conformal compactifications of Poincar{e}-Einstein manifolds. As a first consequence , we obtain a sharp lower bound for the first eigenvalue of the conformal half-Laplacian of the boundary of such manifolds. Secondly, a new upper bound for the renormalized volume is given in the four dimensional setting. Finally, some estimates on the first eigenvalues of Dirac operators are also deduced." @default.
- W2973548254 created "2019-09-26" @default.
- W2973548254 creator A5059016578 @default.
- W2973548254 date "2019-09-18" @default.
- W2973548254 modified "2023-09-27" @default.
- W2973548254 title "Scalar Flat Compactifications Of Poincar{é}-einstein Manifolds And Applications" @default.
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