The Yamabe equation on manifolds of bounded geometry

Details The Yamabe equation on manifolds of bounded geometry The Yamabe equation on manifolds of bounded geometry

2009-12-22

arxiv.org/abs/0912.4398v2

Mathematics

Differential Geometry

Scientific paper

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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