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- W2075389952 abstract "Let $(M,g)$ be a noncompact complete Bach-flat manifold with positive Yamabe constant. We prove that $(M,g)$ is flat if $(M, g)$ has zero scalar curvature and sufficiently small $L_{2}$ bound of curvature tensor. When $(M, g)$ has nonconstant scalar curvature, we prove that $(M, g)$ is conformal to the flat space if $(M, g)$ has sufficiently small $L_2$ bound of curvature tensor and $L_{4/3}$ bound of scalar curvature." @default.
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- W2075389952 date "2010-04-01" @default.
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- W2075389952 title "Rigidity of noncompact complete Bach-flat manifolds" @default.
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- W2075389952 doi "https://doi.org/10.1016/j.geomphys.2009.12.014" @default.
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