Fibering Manifolds-with-boundary


Jeremy Wong

University of Toronto

September 25, 2006


Abstract:  I will discuss fibering a manifold-with-boundary over a closed manifold, as a locally trivial fiber bundle, when they are sufficiently close in the Gromov-Hausdorff sense. Although the manifold-with-boundary will be assumed to satisfy certain sectional curvature and second-fundamental form bounds, as well as a type of injectivity radius bound, it turns out that a fiber bundle structure still exists even if the closed manifold is a priori replaced by more general types of spaces.