Cup-length estimate for Lagrangian intersections |
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Authors: | Chun-Gen Liu |
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Affiliation: | Department of Mathematics, Nankai University, Tianjin 300071, People's Republic of China |
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Abstract: | In this paper, we consider the Arnold conjecture on the Lagrangian intersections of some closed Lagrangian submanifold of a closed symplectic manifold with its image of a Hamiltonian diffeomorphism. We prove that if the Hofer's symplectic energy of the Hamiltonian diffeomorphism is less than a topology number defined by the Lagrangian submanifold, then the Arnold conjecture is true in the degenerated (nontransversal) case. |
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Keywords: | 58F05 58E05 34C25 58F10 |
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