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A symplectic fixed point theorem on \(T^{2n}\times {\mathbb{C}}P^ k\)

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Publication:914209
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DOI10.1007/BF02570755zbMath0701.58013MaRDI QIDQ914209

Yong-Geun Oh

Publication date: 1990

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174146


zbMATH Keywords

fixed pointArnold's conjecturevariational approachsymplectic manifold


Mathematics Subject Classification ID

Fixed-point theorems on manifolds (58C30)


Related Items (5)

Action and index spectra and periodic orbits in Hamiltonian dynamics ⋮ A symplectic fixed-point theorem for T2k × CPn × CPm ⋮ The Arnold conjecture in \(\mathbb{CP}^n\) and the Conley index ⋮ Arnold's conjecture and symplectic reduction ⋮ The \(E\)-cohomological Conley index, cup-lengths and the Arnold conjecture on \(T^{2n}\)



Cites Work

  • The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. Arnold
  • Pseudo holomorphic curves in symplectic manifolds
  • Lusternik-Schnirelman-theory for Lagrangian intersections
  • Morse theory for Lagrangian intersections
  • Symplectic fixed points and holomorphic spheres
  • Cuplength estimates on lagrangian intersections
  • On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries
  • Unnamed Item


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