Systolic inequalities in Reeb dynamics (B03)
Systolic inequalities in Reeb dynamics (B03)
Reeb 动力学中的收缩不等式 (B03)
批准号：
331168416
负责人：
金额：
$0.0万
依托单位国家：
德国
项目类别：
CRC/Transregios
财政年份：
--
资助国家：
德国
项目状态：
未结题
起止时间：
中文摘要
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英文摘要
The aim of this project is to investigate the contact systolic ratio and more broadly the relation between the action spectrum and the volume for Hamiltonian systems. Key questions we will continue to investigate concern upper bounds for the contact systolic ratio under convexity assumptions, or under global symmetry assumptions. Answers are expected to shed light on important open problems in symplectic topology, Riemannian and Finsler systolic geometry, convex geometry and billiard dynamics.
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