Examples of Equivariant Lagrangian Mean Curvature Flow

Abstract

We describe important examples of Lagrangian mean curvature flow in ℂ2 which are invariant under a circle action. Through these examples, we see compact and non-compact situations, long-time existence, singularities forming via explicit models, and significant objects in Riemannian and symplectic geometry, including the Clifford torus, Whitney sphere and Lawlor necks.