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• W2964337125 abstract "In this work, we establish new rigidity results for the Maslov class of Lagrangian submanifolds in large classes of closed and convex symplectic manifolds. Our main result establishes upper bounds for the minimal Maslov number of displaceable Lagrangian submanifolds which are product manifolds whose factors each admit a metric of negative sectional curvature. Such Lagrangian submanifolds exist in every symplectic manifold of dimension greater than six or equal to four. The proof utilizes the relations between closed geodesics on the Lagrangian, the periodic orbits of geometric Hamiltonian flows supported near the Lagrangian, and the length minimizing properties of these flows with respect to the negative Hofer length functional." @default.
• W2964337125 created "2019-07-30" @default.
• W2964337125 creator A5042150179 @default.
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• W2964337125 date "2010-01-01" @default.
• W2964337125 modified "2023-09-27" @default.
• W2964337125 title "Maslov class rigidity for Lagrangian submanifolds via Hofer’s geometry" @default.
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• W2964337125 doi "https://doi.org/10.4171/cmh/214" @default.
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