The existence of two closed characteristics on every compact star-shaped hypersurface in .4

Authors
Liu, Hui Long, Yi Ming
Citation
Liu, Hui et Long, Yi Ming, The existence of two closed characteristics on every compact star-shaped hypersurface in .4, Acta mathematica Sinica. English series (Print) , 32(1), 2016, pp. 40-53
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
32
Issue
1
Year of publication
2016
Pages
40 - 53
Database
ACNP
SICI code
Abstract
Recently, Cristofaro-Gardiner and Hutchings proved that there exist at least two closed characteristics on every compact star-shaped hypersuface in .4. Then Ginzburg, Hein, Hryniewicz, and Macarini gave this result a second proof. In this paper, we give it a third proof by using index iteration theory, resonance identities of closed characteristics and a remarkable theorem of Ginzburg et al.