On stability of the hyperbolic space form under the normalized Ricci flow

Details On stability of the hyperbolic space form under the normalized Ricci flow On stability of the hyperbolic space form under the normalized Ricci flow

2009-06-30

arxiv.org/abs/0906.5529v1

Mathematics

Differential Geometry

17 pages

Scientific paper

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 $n>5$.

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