New York Journal of Mathematics
Volume 5 (1999) 25-51


Joel Langer

Recursion in Curve Geometry

Published: June 14, 1999
Keywords: solitons, curves, localized induction hierarchy
Subject: 35Q51, 53A04

Recursion schemes are familiar in the theory of soliton equations, e.g., in the discussion of infinite hierarchies of conservation laws for such equations. Here we develop a variety of special topics related to curves and curve evolution in two and three-dimensional Euclidean space, with recursion as a unifying theme. The interplay between curve geometry and soliton theory is highlighted.

Author information

Dept. of Mathematics, Case Western Reserve University, Cleveland, OH 44106