%0 Journal Article %T On stability of the hyperbolic space form under the normalized Ricci flow %A Haozhao Li %A Hao Yin %J Mathematics %D 2009 %I arXiv %X This paper studies the normalized Ricci flow from a slight perturbation of the hyperbolic metric on $\mathbb H^n$. It's proved that if the perturbation is small and decays sufficiently fast at the infinity, then the flow will converge exponentially fast to the hyperbolic metric when the dimension $n>5$. %U http://arxiv.org/abs/0906.5529v1