Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658401 | Topology and its Applications | 2015 | 8 Pages |
Abstract
For a compact (without boundary) hyperbolic n-manifold M with nâ¥4, we show that there exists a finite bound B such that for any homeomorphism f:MâM and any fixed point class F of f, the index |ind(f,F)|â¤B, which is a partial positive answer of a question given by Jiang in [3]. Moreover, when M is a compact hyperbolic 4-manifold, or a compact hyperbolic n-manifold (nâ¥5) with isometry group Isom(M) a p-group, we give some explicit descriptions of the bound B.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Qiang Zhang,