Topological structure of complete Riemannian manifolds with cyclic holonomy groups |
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Authors: | Micha? Sadowski |
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Institution: | Department of Mathematics, Gdańsk University 80-952, Wita Stwosza 57, Gdańsk, Poland |
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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 L→X 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 X×Rm-dimX or M is diffeomorphic to L×Rm-dimX−1. |
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Keywords: | primary 53C24 secondary 57R22 53C29 |
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