Cup-length estimate for Lagrangian intersections

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:209

Article

Liu, CG

关键词: symplectic manifold;    Lagrangian submanifold;    intersections;    Arnold conjecture;   

DOI  :  10.1016/j.jde.2004.05.001

来源: Elsevier

【 摘 要 】

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. (C) 2004 Elsevier Inc. All rights reserved.

【 授权许可】

Free