index iteration
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Index iteration theories for periodic orbits: Old and new

2020 ◽  
Vol 201 ◽  
pp. 111999
Author(s):  
Huagui Duan ◽  
Yiming Long ◽  
Chaofeng Zhu
Keyword(s):  
Periodic Orbits ◽  
Index Iteration

scholarly journals EQUIVARIANT SYMPLECTIC HOMOLOGY AND MULTIPLE CLOSED REEB ORBITS

2013 ◽  
Vol 24 (13) ◽  
pp. 1350096 ◽  
Author(s):  
JUNGSOO KANG
Keyword(s):  
Contact Manifolds ◽  
Symplectic Homology ◽  
Iteration Formula ◽  
Index Iteration

We study the existence of multiple closed Reeb orbits on some contact manifolds by means of S1-equivariant symplectic homology and the index iteration formula. We prove that a certain class of contact manifolds which admits displaceable exact contact embeddings, a certain class of prequantization bundles, and Brieskorn spheres have multiple closed Reeb orbits.

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