On Intrinsic Properties of Ricci Flow Curve

Document Type : Regular Paper


1 Amirkabir University of Technology( Tehran Polytechnic)

2 Amirkabir University of Technology ( Tehran Polytechnic)

3 Amirkabir University of Tecchnology ( Tehran Polytechnic)


Abstract. R.Hamilton defined Ricci flow as evolution of Rie-mannian metrics satisfying a weak parabolic partial differential equation. We have considered and studied Ricci flow as an inte-
gral curve of a certain vector field in the manifold of Riemannian
metrics. In this paper we study properties of this integral curve
and find some results on the stability of the solution.


Main Subjects