Locally Volume-Minimizing Codimension-One Foliation of the Solid Torus

The aim of this paper is to construct a specific codimension-1 foliation of \( D2 \times S1 \) with one Reeb component, and to show that this foliation locally minimizes the volume among foliations with the boundary torus as a leaf.

Locally Volume-Minimizing Codimension-One Foliation of the Solid Torus

The aim of this paper is to construct a specific codimension-1 foliation of \( D2 \times S1 \) with one Reeb component, and to show that this foliation locally minimizes the volume among foliations with the boundary torus as a leaf.