Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9500469 | Differential Geometry and its Applications | 2005 | 8 Pages |
Abstract
Let M be a complete m-dimensional Riemannian manifold with cyclic holonomy group, let X be a closed flat manifold homotopy equivalent to M, and let LâX be a nontrivial line bundle over X whose total space is a flat manifold with cyclic holonomy group. We prove that either M is diffeomorphic to XÃRm-dimX or M is diffeomorphic to LÃRm-dimXâ1.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
MichaÅ Sadowski,