Trapped Reeb orbits do not imply periodic ones
成果类型：
Article
署名作者：
Geiges, Hansjoerg; Roettgen, Nena; Zehmisch, Kai
署名单位：
University of Cologne; University of Freiburg
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-014-0500-9
发表日期：
2014
页码：
211-217
关键词：
摘要：
We construct a contact form on , , equal to the standard contact form outside a compact set and defining the standard contact structure on all of , which has trapped Reeb orbits, including a torus invariant under the Reeb flow, but no closed Reeb orbits. This answers a question posed by Helmut Hofer.