quasigeodesic

English[edit]

quasigeodesic (not comparable)

(mathematics) Of a map $f:{\textbf {R}}\to Y$ $f:{\textbf {R}}\to Y$ , having constants $K>0$ $K>0$ and $C\geq 0$ $C\geq 0$ such that ${1 \over K}d(x,y)-C\leq d(f(x),f(y))\leq Kd(x,y)+C.$ ${1 \over K}d(x,y)-C\leq d(f(x),f(y))\leq Kd(x,y)+C.$
- 2015, Steven Frankel, “Coarse hyperbolicity and closed orbits for quasigeodesic flows”, in arXiv‎^[1]:
  We prove Calegari's conjecture that every quasigeodesic flow on a closed hyperbolic 3-manifold has closed orbits..