On the topology of the space of negatively curved metrics

arxiv: math/0607367 · v4 · submitted 2006-07-16 · 🧮 math.DG · math.GT

F. T. Farrell , P. Ontaneda This is my paper

classification 🧮 math.DG math.GT

keywords curvednegativelymetricsspaceclosedhighlymanifoldnon-connected

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We show that the space of negatively curved metrics of a closed negatively curved Riemannian $n$-manifold, $n\geq 10$, is highly non-connected.

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