Seminar series
Tue, 14 May 2024
Urs Lang
In this talk, I will review recent results of K. Biswas. It is an open problem whether 
every Möbius homeomorphism between the visual boundaries of two Hadamard 
manifolds of curvature at most -1 extends to an isometry between them. A positive 
answer would resolve the long-standing marked length spectrum rigidity conjecture 
of Burns-Katok for closed negatively curved manifolds. Biswas' results yield an 
isometry between certain functorial thickenings of the manifolds, which lie within 
uniformly bounded distance and can be identified with their injective hulls.
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