Démonstration de la conjecture de la masse positive |
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Authors: | Thierry Aubin |
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Institution: | Université Pierre et Marie Curie, Place Jussieu, 75005 Paris, France |
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Abstract: | On a compact Riemannian manifold (Vn,g)(n>2), when the conformal Laplacian L is invertible, we show, under necessary hypotheses, that if the Green function GL of L is of the form (here r=d(P,Q)) GL(P,Q)=1/(n−2)ωn−1rn−2+H(P,Q) with H(P,Q) bounded on V, then |
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Keywords: | Positive mass Conformal Laplacian Green function |
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