Curve flows on surfaces and intersections of curves. (English) Zbl 0793.53006

Hass, Joel; Scott, Peter

Greene, Robert (ed.) et al., Differential geometry. Part 3: Riemannian geometry. Proceedings of a summer research institute, held at the University of California, Los Angeles, CA, USA, July 8-28, 1990. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 54, Part 3, 415-421 (1993).

Summary: New techniques from evolution equations hold promise as a tool in low- dimensional topology. Here a new curve shortening flow is introduced and used to study the intersection of curves on surfaces.
For the entire collection see [Zbl 0773.00024].

MSC:

53A05	Surfaces in Euclidean and related spaces
53A04	Curves in Euclidean and related spaces
57M25	Knots and links in the \(3\)-sphere (MSC2010)

Keywords:

evolution equations; curve shortening flow; curves on surfaces