Bounds for tentacular Hamiltonians

Author:

Pasquotto Federica1,Wiśniewska Jagna2

Affiliation:

1. Department of Mathematics, Vrije Universiteit Amsterdam, De Boelelaan 1081, 1081 HV Amsterdam, The Netherlands

2. Department of Mathematics, ETH Zürich, Raemistrasse 101, 8092 Zürich, Switzerland

Abstract

This paper represents a first step toward the extension of the definition of Rabinowitz Floer homology to non-compact energy hypersurfaces in exact symplectic manifolds. More concretely, we study under which conditions it is possible to establish [Formula: see text]-bounds for the Floer trajectories of a Hamiltonian with non-compact energy levels. Moreover, we introduce a class of Hamiltonians, called tentacular Hamiltonians which satisfy the conditions: how to define Rabinowitz Floer homology for these examples will be the subject of a follow-up paper.

Funder

Periodic Motions on Non-Compact Energy Surfaces of NWO

Symplectic Structures in Geometry, Algebra and Dynamics of the DFG

Publisher

World Scientific Pub Co Pte Lt

Subject

Geometry and Topology,Analysis

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The Arnold conjecture for singular symplectic manifolds;Journal of Fixed Point Theory and Applications;2024-04-18

2. b-Contact structures on tentacular hyperboloids;Journal of Geometry and Physics;2023-09

3. Computing the Rabinowitz Floer homology of tentacular hyperboloids;Journal of Modern Dynamics;2021

4. Rabinowitz Floer Homology for Tentacular Hamiltonians;International Mathematics Research Notices;2020-06-23

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3