Teichm\'uller space of negatively curved metrics on Complex Hyperbolic Manifolds is not contractible
| Autor: | Farrell, F. T., Sorcar, G. |
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| Rok vydání: | 2016 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s11425-016-0351-8 |
| Popis: | In this paper we prove that for all $n=4k-2$, $k\ge2$ there exists a closed smooth complex hyperbolic manifold $M$ with real dimension $n$ having non-trivial $\pi_1(\mathcal{T}^{<0}(M))$. $\mathcal{T}^{<0}(M)$ denotes the Teichm\"uller space of all negatively curved Riemannian metrics on $M$, which is the topological quotient of the space of all negatively curved metrics modulo the space of self-diffeomorphisms of $M$ that are homotopic to the identity. Comment: This paper has been accepted for publication in the Science China journal. arXiv admin note: substantial text overlap with arXiv:1311.5658 |
| Databáze: | arXiv |
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