A symplectic fixed-point theorem for T2k × CPn × CPm

DOI10.1017/S0308210500032625zbMath0849.58031MaRDI QIDQ4857063

Jianxun Hu

Publication date: 26 November 1995

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

fixed pointscritical pointsLyapunov-Schmidt reductionArnold conjectureexact symplectic diffeomorphisms

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Fixed-point theorems on manifolds (58C30) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Cites Work

• A symplectic fixed point theorem for \({\mathbb{C}}P^ n\)
• A symplectic fixed point theorem on \(T^{2n}\times {\mathbb{C}}P^ k\)
• The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. Arnold
• Symplectic fixed points and holomorphic spheres

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