关于不可定向2-流形上流的Peixoto猜想
On Peixoto's Conjecture for Flows on Non-orientable 2-Manifolds
摘要：
设M是亏格为4的不可定向紧2-流形。则M中存在一族拟极小的Kupka-Smale光滑向量场X_r，光滑地依赖于0<=r<e，使得对X_0的M中的某个流盒V，且对所有0<=r，v<e，（1）X_r限制在V中是流盒;（2）若r不等于v，X_r是X_v在V中局部化的C^ \infty -扭转扰动;（3）X_r与X_v拓扑等价。
英文摘要：
Let M be a non-orientable compact 2-manifold of genus 4. Then there exists a family of quasi-minimal, Kupka-Smale smooth vector fields X_r in M, depending smoothly on 0<=r<e, such that, for some flow box V in M of X_0, and for all 0<=r,v<e, (1) X_r restricted to V is a flow box; (2) If r is not equal to v, X_r is a C^\infty--twist perturbation of X_v localized in V; (3) X_r and X_v are topologically equivalent.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
