Stability of hyperbolic manifolds with cusps under Ricci flow |
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| Authors: | Richard H. Bamler |
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| Affiliation: | Department of Mathematics, Princeton University, Princeton, NJ 08544, United States |
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| Abstract: | We show that every finite volume hyperbolic manifold of dimension greater than or equal to 3 is stable under rescaled Ricci flow, i.e. that every small perturbation of the hyperbolic metric flows back to the hyperbolic metric again. Note that we do not need to make any decay assumptions on this perturbation. |
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| Keywords: | Ricci flow Stability Hyperbolic manifold Hyperbolic cusp Cusp deformation |
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