Rigidity of manifolds without non-positive curvature
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Mon, 07/02/2011 15:45 |
Roberto Frigerio (Universita di Pisa) |
Topology Seminar  |
L3 |
| In this talk I describe some results obtained in collaboration with J.F. Lafont and A. Sisto, which concern rigidity theorems for a class of manifolds which are “mostly” non-positively curved, but may not support any actual non-positively curved metric. More precisely, we define a class of manifolds which contains non-positively curved examples. Building on techniques coming from geometric group theory, we show that smooth rigidity holds within our class of manifolds (in fact, they are also topologically rigid - i.e. they satisfy the Borel conjecture - but this fact won't be discussed in my talk). We also discuss some results concerning the quasi-isometry type of the fundamental groups of mostly non-positively curved manifolds. | |||