On the topology of the space of pinched negatively curved metrics with finite volume and identical ends
classification
🧮 math.DG
math.GT
keywords
curvedfinitemetricsnegativelypinchedspacevolumebehavior
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We prove that the space of complete, finite volume, pinched negatively curved Riemannian metrics on a smooth high-dimensional manifold is either empty or it is highly non-connected, provided their behavior at infinity is similar.
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