Configurations of curves and geodesics on surfaces

  title={Configurations of curves and geodesics on surfaces},
  author={Joel Hass and Peter Scott},
We study configurations of immersed curves in surfaces and surfaces in 3–manifolds. Among other results, we show that primitive curves have only finitely many configurations which minimize the number of double points. We give examples of minimal configurations not realized by geodesics in any hyperbolic metric. AMS Classification 53C22; 57R42 

From This Paper

Figures, tables, and topics from this paper.

Explore Further: Topics Discussed in This Paper


Publications citing this paper.
Showing 1-3 of 3 extracted citations


Publications referenced by this paper.
Showing 1-6 of 6 references

Least area surfaces can have excess triple points, Topology

R Gulliver, P Scott

Intersections of curves on surfaces

P Scott J Hass
Israel Journal of Math . • 1985

Intersections of curves on surfaces, Israel

J Hass, P Scott
Journal of Math • 1985

Least area surfaces can have excess triple points

P Scott J Hass

Similar Papers

Loading similar papers…