English

On the Geometry of complete Ricci Solitons

Differential Geometry 2010-09-09 v1

Abstract

In this paper we establish three basic equations for a general soliton structure on the Riemannian manifold (M,<,>)(M, <, >). We then draw some geometric conclusions with the aid of the maximum principle.

Keywords

Cite

@article{arxiv.1009.1480,
  title  = {On the Geometry of complete Ricci Solitons},
  author = {Paolo Mastrolia and Marco Rigoli},
  journal= {arXiv preprint arXiv:1009.1480},
  year   = {2010}
}