Top Qs
Timeline
Chat
Perspective
Nearby Lagrangian conjecture
From Wikipedia, the free encyclopedia
Remove ads
In mathematics, more specifically symplectic topology, the nearby Lagrangian conjecture, is an open[1] mathematical problem often attributed to Vladimir Arnold. It states that every closed exact Lagrangian submanifold of a cotangent bundle T∗M (with symplectic structure) is Hamiltonian isotopic to the zero section.[2][3][4]
Unsolved problem in mathematics
Prove or disprove: Any closed exact Lagrangian submanifold of the cotangent bundle of a closed manifold is Hamiltonian isotopic to the zero section.
Remove ads
References
Wikiwand - on
Seamless Wikipedia browsing. On steroids.
Remove ads