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Topological,affine and isometric actions on flat riemannian manifolds II |
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| Authors: | Kyung B. Lee Frank Raymond |
| Affiliation: | Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA |
| Abstract: | Explicit examples of finite subgroups of the group of homotopy classes of self-homotopy equivalences of some flat Riemannian manifolds which cannot be lifted to effective actions are given. It is also shown that no finite subgroups of the kernel of π0(Homeo(M))→Out π1(M) can be lifted back to Homeo(M), for a large class of flat manifolds M. Some results of an earlier paper by the authors are refined and related to recent work of R. Schoen and S.T. Yau. |
| Keywords: | Primary 57S17 57S25 Secondary 53C21 flat Riemannian manifolds outer automorphism group crystallographic groups abstract kernel topological, affine and isometric actions homotopy classes of self-homotopy equivalences obstruction to a group extension |
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