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- W311914516 abstract "Throughout thispaper,we refertothisequation as equation(/,M). Now, we areinterestedin thestructureofthe moduli spaceof(complete) conformal metricson M with scalarcurvature/.In thiswork, we study the equation(f,M) in the case when (M,g) isa subdomain ofa compact Rie- mannian manifold (M,g). More precisely,we considermainly the case when h(Lg) > 0,(M,g) isthecomplement AfSofa compact submanifold E, and/ isnonpositive. Under this assumption, Mazzeo (12) proved that, when d = dimS < (n- 2)/2 and / = 0 on M, fullsolutionspace of scalarflatcomplete conformal metrics on M is parametrized by the space of strictlypositive measures on S. This fact means that £is the Martin boundary of the Laplacian with respectto a scalarflatcomplete conformal metricon M. When / has a compact support,any conformal metricuq~1gon M with scalarcurvature/is bounded above by some scalarflatconformal metric<pq~lg" @default.
- W311914516 created "2016-06-24" @default.
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- W311914516 date "1997-06-01" @default.
- W311914516 modified "2023-09-27" @default.
- W311914516 title "Structure theorems of the scalar curvature equation on subdomains of a compact Riemannian manifold" @default.
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- W311914516 doi "https://doi.org/10.21099/tkbjm/1496163168" @default.
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