Weinstein conjecture and a theory of infinite dimensional cycles

DOI10.3792/pjaa.67.132zbMath0756.58009OpenAlexW1973714741WikidataQ123366164 ScholiaQ123366164MaRDI QIDQ1180779

Hiroshi Morimoto

Publication date: 27 June 1992

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.67.132

zbMATH Keywords

Weinstein conjectureinfinite dimensional cycle

Mathematics Subject Classification ID

Variational problems in infinite-dimensional spaces (58E99) Spaces and manifolds of mappings (including nonlinear versions of 46Exx) (58D99)

Cites Work

• A theory of infinite dimensional cycles for Dirac operators
• A proof of Weinstein's conjecture in \(\mathbb R^{2n}\)
• The Weinstein conjecture in \(P\times {\mathbb{C}}^{\ell}\)
• On the hypotheses of Rabinowitz' periodic orbit theorems
• Topological Remarks–Critical Points at Infinity and String Theory
• Periodic solutions of hamiltonian systems

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