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- W2893422851 abstract "We study the graph property for Lagrangian minimizing submanifolds of the geodesic flow of a Riemannian metric in the torus $ (T^{n},g) $, $ n>2 $. It is well known that the transitivity of the geodesic flow in a minimizing Lagrangian submanifold implies the graph property. We replace the transitivity by three kind of assumptions: (1) $ r $-density of the set of recurrent orbits for some $ r>0 $ depending on $ g $, (2) $ r $-density of the limit set, (3) every point is nonwandering. Then we show that a Lagrangian, minimizing torus satisfying one of such assumptions is a graph." @default.
- W2893422851 created "2018-10-05" @default.
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- W2893422851 date "2018-01-01" @default.
- W2893422851 modified "2023-10-14" @default.
- W2893422851 title "On the graph theorem for Lagrangian minimizing tori" @default.
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- W2893422851 doi "https://doi.org/10.3934/dcds.2018260" @default.
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