Universität zu Köln

Albers, Peter, Gutt, Jean and Hein, Doris (2018). PERIODIC REEB ORBITS ON PREQUANTIZATION BUNDLES. J. Mod. Dyn., 12. S. 123 - 151. SPRINGFIELD: AMER INST MATHEMATICAL SCIENCES-AIMS. ISSN 1930-532X

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Abstract

In this paper, we prove that every graphical hypersurface in a prequantization bundle over a symplectic manifold M, pinched between two circle bundles whose ratio of radii is less than root 2 carries either one short simple periodic orbit or carries at least cuplength(M) + 1 simple periodic Reeb orbits.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Albers, Peter UNSPECIFIED UNSPECIFIED UNSPECIFIED Gutt, Jean UNSPECIFIED UNSPECIFIED UNSPECIFIED Hein, Doris UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-190340
DOI:	10.3934/jmd.2018005
Journal or Publication Title:	J. Mod. Dyn.
Volume:	12
Page Range:	S. 123 - 151
Date:	2018
Publisher:	AMER INST MATHEMATICAL SCIENCES-AIMS
Place of Publication:	SPRINGFIELD
ISSN:	1930-532X
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language COMPACT CONVEX HYPERSURFACES; CLOSED CHARACTERISTICS; SYMPLECTIC HOMOLOGY; CONTACT; MULTIPLICITY; TRAJECTORIES; CONJECTURE; EXISTENCE; NUMBER; R-2N Multiple languages Mathematics, Applied; Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/19034