The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds
Abstract We show that for a generic conformal metric perturbation of a compact hyperbolic 3-manifold $$\Sigma $$ Σ with Betti number $$b_1$$ b 1 , the order of vanishing of the Ruelle zeta function at zero equals $$4-b_1$$ 4 - b 1 , while in the hyperbolic case it is equal to $$4-2b_1$$ 4 - 2 b 1 ....
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin Heidelberg,
2022-03-14T14:00:10Z.
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| Subjects: | |
| Online Access: | Get fulltext |