Seminar series
Date
Mon, 07 Feb 2011
Time
15:45 -
16:45
Location
L3
Speaker
Roberto Frigerio
Organisation
Universita di Pisa
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.