NMS Flows on Three-Dimensional Manifolds with One Saddle Periodic Orbit

NMS Flows on Three-Dimensional Manifolds with One Saddle Periodic Orbit

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摘要 The simplest NMS flow is a polar flow formed by an attractive periodic orbit and a repulsive periodic orbit as limit sets. In this paper we show that the only orientable, simple, compact, 3-dimensional manifolds without boundary that admit an NMS flow with none or one saddle periodic orbit are lens spaces. We also see that when a fattened round handle is a connected sum of tori, the corresponding flow is also a trivial connected sum of flows. The simplest NMS flow is a polar flow formed by an attractive periodic orbit and a repulsive periodic orbit as limit sets. In this paper we show that the only orientable, simple, compact, 3-dimensional manifolds without boundary that admit an NMS flow with none or one saddle periodic orbit are lens spaces. We also see that when a fattened round handle is a connected sum of tori, the corresponding flow is also a trivial connected sum of flows.

作者 B.CAMPOS A.CORDERO J.Martinez ALFARO P.VINDEL

机构地区 Department Matemàtiques Department Matemàtica Aplicada Department Matemàtica Aplicada

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2004年第1期47-56,共10页 数学学报（英文版）

基金 Partially supported by PB97-0394(DGES) Partially supported by P1B99-09(Convenio Bancaja-Universitat Jaume I)

关键词 NMS systems Links of periodic orbits Round handle decomposition Lens spaces NMS systems Links of periodic orbits Round handle decomposition Lens spaces

分类号 O186.12 [理学—基础数学]

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NMS Flows on Three-Dimensional Manifolds with One Saddle Periodic Orbit

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