On the topology of the space of negatively curved metrics

2006/07/16 by F. T. Farrell, Farrell, F. T., P. Ontaneda +1 · 1 citation
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #math.DG #math.GT

paper · pdf · doi:10.48550/arxiv.math/0607367

arxiv created 2008/10/26 · arxiv updated 2009/12/01

Abstract

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

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