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The Existence of Two Closed Characteristics on Every Compact Star-shaped Hypersurface in R4

作者:Hui; LIU; Yi; Ming; LONG封闭特征星形紧凑封闭特性超曲面证明

摘要:Recently, Cristofaro-Gardiner and Hutchings proved that there exist at least two closed characteristics on every compact star-shaped hypersuface in R~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.

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数学学报

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