Nonexistence of cusp cross-section of one-cusped complete complex hyperbolic manifolds II

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D. D. Long and A. W. Reid have shown that some compact flat 3-manifold cannot be diffeomorphic to a cusp cross-section of any complete finite volume 1-cusped real hyperbolic 4-manifold. This note concerns the complex hyperbolic case. We give a negative answer that there exists a 3-dimensional closed Heisenberg infranilmanifold which cannot be diffeomorphic to a cusp cross-section of any complete finite volume 1-cusped complex hyperbolic 2-manifold.
7pages

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Algebraic Topology, 53C55; 57S25, 51M10

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http://salesiana.dossiersoluciones.com/handle/123456789/110379

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603726
 http://arxiv.org/abs/math/0603726

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arXiv