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| ``Infranil manifolds & Riemann surfaces''
by Linas on 2005-09-09 00:47:04 |
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| | I have in front of me a textbook example of an Anosov flow; its the spliting of the tangent manifold of the upper half plane (or of a Riemann surface of negative curvature) into three parts: the geodesic flow plus two horocycle flows, one expanding, the other contracting. I'm having some trouble identifying how this is an infranil manifold. I guess the group structure is rotations O(2) semi-direct translations; and te finite group must be the covering group. So I guess that means every tangent bundle to a Riemann surface is an infranil manifold ?? It'd be nice for this article to clarify. --linas |
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