The aim of this paper is to construct a specific codimension-1 foliation of \( D^2 \times S^1 \) with one Reeb component, and to show that this foliation locally minimizes the volume among foliations with the boundary torus as a leaf.
KOCAYUSUFOĞLU, İ. and JHONSON, D. L. (1998) "Locally Volume-Minimizing Codimension-One Foliation of the Solid Torus," Turkish Journal of Mathematics: Vol. 22: No. 2, Article 9. Available at: https://journals.tubitak.gov.tr/math/vol22/iss2/9