Generalizations of Ekeland-Hofer and Hofer-Zehnder symplectic capacities and applications

2019/03/04 by Rongrong Jin, Guangcun Lu, Jin, Rongrong +1
Mathematics · #53D12 #53D35 #Advanced Operator Algebra Research #Dynamical Systems (math.DS) #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1903.01116

openalex publication_date 2019/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we construct analogues of Ekeland-Hofer and Hofer-Zehnder symplectic capacities based on a class of Hamiltonian boundary value problems motivated by Clarke's and Ekeland's work, and study generalizations of some important results about the original two capacities (for example, the famous Weinstein conjecture, representation formula for c_{\rm EH} and c_{\rm HZ}, and a theorem by Evgeni Neduv).

Citations

• On the Almost Everywhere Continuity

Cited by

• Representation formula for symmetric symplectic capacity and applications

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