English

The Yamabe equation on manifolds of bounded geometry

Differential Geometry 2014-01-14 v3

Abstract

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.

Keywords

Cite

@article{arxiv.0912.4398,
  title  = {The Yamabe equation on manifolds of bounded geometry},
  author = {Nadine Große},
  journal= {arXiv preprint arXiv:0912.4398},
  year   = {2014}
}

Comments

http://dx.doi.org/10.4310/CAG.2013.v21.n5.a4