English

Local existence to the cross curvature flow on 3-manifolds with boundary

Differential Geometry 2010-03-04 v1 Analysis of PDEs

Abstract

In this paper, we use the DeTurck trick to study the short-time existence of solutions to the Dirichlet and Newmann boundary problems of the cross curvature flow on 3-manifolds with boundary.

Keywords

Cite

@article{arxiv.1003.0767,
  title  = {Local existence to the cross curvature flow on 3-manifolds with boundary},
  author = {Li Ma and Baiyu Liu},
  journal= {arXiv preprint arXiv:1003.0767},
  year   = {2010}
}