|
|
![[parent]](http://images.planetmath.org:8080/images/uparrow.png) Viewing Message
|
|
|
| ``Re: Infranil manifolds & Riemann surfaces''
by Koro on 2005-09-09 12:44:41 |
|
| The problem is that you're looking at an Anosov *flow*. The conjecture is that the only manifolds supporting Anosov *diffeomorphisms* are nilmanifolds or infranilmanifolds. Anosov flows are much more common; in fact the example you mention is a particular case of the more general fact that in any riemannian manifold with negative sectional curvature, the geodesic flow is in fact an Anosov flow.
I will add a comment on that.
|
| | [ reply | up | top ] |
|
|
|
|
|
|
