The moduli space of negatively curved metrics of a hyperbolic manifold

We prove that the moduli space of negatively curved metrics of a hyperbolic manifold M n has nontrivial homotopy and homology groups in certain dimensions (depending on n) provided M has a 'good' closed geodesic.

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Bibliographic Details
Published in:Journal of topology 2010, Vol.3 (3), p.561-577
Main Authors: Farrell, F. T., Ontaneda, P.
Format: Article
Language:English
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Summary:We prove that the moduli space of negatively curved metrics of a hyperbolic manifold M n has nontrivial homotopy and homology groups in certain dimensions (depending on n) provided M has a 'good' closed geodesic.
ISSN:1753-8416
1753-8424
DOI:10.1112/jtopol/jtq016