The Yamabe equation on manifolds of bounded geometry
classification
🧮 math.DG
keywords
yamabeboundedgeometrymanifoldsmetricsassumptionsconformalconstant
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We study the Yamabe problem on open manifolds of bounded geometry and show that under suitable assumptions there exist Yamabe metrics, i.e. conformal metrics of constant scalar curvature. For that, we use weighted Sobolev embeddings.
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