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

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dc.creatorKamishima, Yoshinobu
dc.date2006-03-31
dc.date.accessioned2026-07-07T07:07:24Z
dc.date.available2026-07-07T07:07:24Z
dc.descriptionD. 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.
dc.description7pages
dc.identifierhttps://arxiv.org/abs/math/0603726
dc.identifierhttp://arxiv.org/abs/math/0603726
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110379
dc.subjectAlgebraic Topology
dc.subject53C55; 57S25, 51M10
dc.titleNonexistence of cusp cross-section of one-cusped complete complex hyperbolic manifolds II
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