The tangential map and associated integrable equations

TL;DR

This paper explores the tangential map on smooth planar curves, highlighting its 3D-consistency and its connection to well-known integrable equations, contributing to the understanding of geometric integrability.

Contribution

It introduces the tangential map and establishes its relation to integrable equations, demonstrating its 3D-consistency property.

Findings

The tangential map is 3D-consistent.

It is closely related to known integrable equations.

The paper provides new insights into geometric integrability.

Abstract

The tangential map is a map on the set of smooth planar curves. It satisfies the 3D-consistency property and is closely related to some well-known integrable equations.