Nonpositively curved 2-complexes with isolated flats

  title={Nonpositively curved 2-complexes with isolated flats},
  author={G Christopher Hruska},
  • G Christopher Hruska
  • Published 2004
We introduce the class of nonpositively curved 2–complexes with the Isolated Flats Property. These 2–complexes are, in a sense, hyperbolic relative to their flats. More precisely, we show that several important properties of Gromovhyperbolic spaces hold “relative to flats” in nonpositively curved 2–complexes with the Isolated Flats Property. We introduce the Relatively Thin Triangle Property, which states roughly that the fat part of a geodesic triangle lies near a single flat. We also… CONTINUE READING


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