Hamiltonian C-0-continuity of Lagrangian capacity on the cotangent bundle
SCIE
SCOPUS
- Title
- Hamiltonian C-0-continuity of Lagrangian capacity on the cotangent bundle
- Authors
- Oh, Yong-Geun
- Date Issued
- 2017-09
- Publisher
- DUKE UNIV PRESS
- Abstract
- Partially motivated by the study of topological Hamiltonian dynamics, we prove the following C-0-continuity of the Lagrangian capacity function gamma(lag): gamma l(ag) (phi(1)(H)(0N)) := p(lag) (H;1) - p(lag) (H; [pt](#) -> 0 as phi(1)(H) -> id, provided the H's satisfy supp X-H subset of D-R(T*N) \ (0B) for some R> 0 and a closed subset B subset of N with nonempty interior. We also provide an estimate of the capacity in terms of the C-0-distance of d(C)0 (phi(1)(H), id) and the subset B subset of N relative to T*N.
- Keywords
- SYMPLECTIC TOPOLOGY; SUBMANIFOLDS; GEOMETRY
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/50619
- DOI
- 10.1215/21562261-2017-0008
- ISSN
- 2156-2261
- Article Type
- Article
- Citation
- KYOTO JOURNAL OF MATHEMATICS, vol. 57, no. 3, page. 613 - 636, 2017-09
- Files in This Item:
- There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.