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• W3080512461 abstract "On a compact manifold $M$ with boundary $partial M$, we study the problem of prescribing the scalar curvature in $M$ and the mean curvature on the boundary $partial M$ simultaneously. To do this, we introduce the notion of singular metric, which is inspired by the early work of Fischer-Marsden in [18] and Lin-Yuan in [23] for closed manifold. We show that we can prescribe the scalar curvature and the mean curvature simultaneously for generic scalar-flat manifolds with minimal boundary. We also prove some rigidity results for the flat manifolds with totally geodesic boundary." @default.
• W3080512461 created "2020-09-01" @default.
• W3080512461 creator A5037109574 @default.
• W3080512461 creator A5043440302 @default.
• W3080512461 date "2020-08-27" @default.
• W3080512461 modified "2023-09-27" @default.
• W3080512461 title "Deformation of the scalar curvature and the mean curvature" @default.
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• W3080512461 hasPublicationYear "2020" @default.
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