On Intrinsic Properties of Ricci Flow Curve

Hajar Ghahremani-Gol | Asadollah Razavi | Farzad Didehvar

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URL :   http://research.shahed.ac.ir/WSR/WebPages/Report/PaperView.aspx?PaperID=43523
Date :  2017/04/11
Publish in :    Iranian Journal of Science and Technology, Transactions A: Science
DOI :  https://doi.org/10.1007/s40995-017-0213-1
Link :  http://dx.doi.org/ 10.1007/s40995-017-0213-1
Keywords :Ricci, Curve

Abstract :

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Abstract R. Hamilton defined Ricci flow as evolution of Riemannian metrics satisfying a weak parabolic partial differential equation. We have considered and studied Ricci flow as an integral 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.