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We prove Ma˜n´e’s conjectures ([Mn96]) in the context of codimension one Aubry-Mather theory
Codimension one symplectic foliations and regular Poisson structures
Codimension one symplectic foliations regular Poisson structures
2010/11/30
In this short note we give a complete characterization of a certain class of compact corank one Poisson manifolds,those equipped with a closed one-form defining the symplectic foliation
and a closed ...
Locally Volume-Minimizing Codimension-One Foliation of the Solid Torus
Solid Torus Volume-Minimizing
2010/3/4
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 wi...