Geiges, Hansjoerg, Roettgen, Nena and Zehmisch, Kai ORCID: 0000-0002-9512-860X (2014). Trapped Reeb orbits do not imply periodic ones. Invent. Math., 198 (1). S. 211 - 218. HEIDELBERG: SPRINGER HEIDELBERG. ISSN 1432-1297

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Abstract

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.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Geiges, HansjoergUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Roettgen, NenaUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Zehmisch, KaiUNSPECIFIEDorcid.org/0000-0002-9512-860XUNSPECIFIED
URN: urn:nbn:de:hbz:38-427616
DOI: 10.1007/s00222-014-0500-9
Journal or Publication Title: Invent. Math.
Volume: 198
Number: 1
Page Range: S. 211 - 218
Date: 2014
Publisher: SPRINGER HEIDELBERG
Place of Publication: HEIDELBERG
ISSN: 1432-1297
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
MathematicsMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/42761

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