首页> 中文期刊> 《数学年刊B辑(英文版)》 >Haken 3-Manifolds in Small Covers

Haken 3-Manifolds in Small Covers

         

摘要

The authors prove that a 3-dimensional small cover M is a Haken manifold if and only if M is aspherical or equivalently the underlying simple polytope is a flag polytope.In addition,they find that M being Haken is also equivalent to the existence of a Riemannian metric with non-positive sectional curvature on M.

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