On Intrinsic Properties of Ricci Flow Curve

Document Type : Regular Paper

Authors

1 Amirkabir University of Technology( Tehran Polytechnic)

2 Amirkabir University of Technology ( Tehran Polytechnic)

3 Amirkabir University of Tecchnology ( Tehran Polytechnic)

Abstract

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.

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Main Subjects