English

Yamabe Flow with prescribed scalar curvature

Differential Geometry 2018-12-26 v1

Abstract

In this work, we study the Yamabe flow corresponding to the prescribed scalar curvature problem on compact Riemannian manifolds with negative scalar curvature. The long time existence and convergence of the flow are proved under appropriate conditions on the prescribed scalar curvature function.

Keywords

Cite

@article{arxiv.1705.06898,
  title  = {Yamabe Flow with prescribed scalar curvature},
  author = {Inas Amacha and Rachid Regbaoui},
  journal= {arXiv preprint arXiv:1705.06898},
  year   = {2018}
}