Immersing almost geodesic surfaces in a closed hyperbolic three manifold

• 成果类型: Article
• 署名作者: Kahn, Jeremy; Markovic, Vladimir
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2012.175.3.4
• 发表日期: 2012
• 页码: 1127-1190
• 关键词: 3-manifolds

摘要

Let M-3 be a closed hyperbolic three manifold. We construct closed surfaces that map by immersions into M-3 so that for each, one the corresponding mapping on the universal covering spaces is an embedding, or, in other words, the corresponding induced mapping on fundamental groups is an injection.