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(余斌)Building Anosov flows on 3-manifolds
发布时间: 2017-09-21        浏览次数: 8627

论文题目: Building Anosov flows on 3-manifolds

 

论文作者: Francois, Beguin; Christian, Bonatti;余斌

 

发表刊物: 王者体育Geometry & Topology

 

成果介绍:

王者体育 anosovliushishuangquliuxingshangcediliudezhongyaotuiguang,yuanyushangshiji60niandaiqiansulianzhumingshuxuejiaanosovdezhuminggongzuo《geodesic flows on closed riemannian manifolds of negative curvature》。youyujihejiegoudeyoumeixingyudonglixuexingzhidefuzaxing,anosovliulijibeimeiguozhumingshuxuejiasmalezuoweiqihongweidejiegouwendingxitongprogramdeliangleizuizhongyaodejibenfanlizhiyi(lingyileishismalematiyingshe)。zheiyixitongyuzhongduoqitashuxuefenzhimiqiexiangguan(liru: liqunlidaishu,bianlilun,yezhuangjiegou,diweituopudeng),zailiuxingdetuopuhejiheyanjiuzhongjuyouzhongyaodediwei。danshijishizaisanwei(chengzaianosovliudezuidiweishu)deqingkuang,renmenliwanzhengdilijie(liru: tuopudengjiafenlei)zheileixitonghaiyouhenyuandejuli。shenzhinaxiesanweiliuxingchengzaianosovliurengshigongkaiwenti。

王者体育 sanweianosovliudejibenliziyoulianglei: shuangququmiandecediliuyijiyouhuanmianshanganosovweifenzitongpeiyoudaodeanosovliu。shangshiji70niandaizhiqianrenmencaice: zaimodiaoyouxianzhongfudiezhixia,zheixiejichulesuoyoudeanosovliu(huanjuhuajiang: sanweianosovliudoushidaishuanosovliu)。dancong80niandaiyilai,franks-williams(1979), handel-thurston(1980), bonatti-lagevin(1994)dengrenjichuleyixiefeidaishudeanosovliudelizi。> zheixielizizaibeigailingyuzhuanjiachengweiexotic(qiguaide) anosovliu。

benwenjichulesanweiliuxingzhonganosovliudeyigegouzaoxingdingli; bingjiyucidingli,gouzaoleyixilieanosovliudelizi。yifangmian,bufenlizijieshileqiguaideanosovliuzaisuoyousanweianosovliuzhongshiyizhongpubianxianxiang;lingyifangmian,bufenlizizhanxianlesanweianosovliudeyixiexinxianxiang,liru: duirenyizhengzhengshun, cunzaisanweiliuxing m chengzai nge feituopudengjiaaosov liu。 zheiyigongzuobeishengaozhuanjiachengwei“an extremely general method to build anosov flows on 3-manifolds”,“the authors work can also be seen  as a non-trivial step towards a better understanding of the topological classfication of anosov flows in dimension 3.” “ the results develop here are new and of great use in the field”。 gaiwendeyuyinbenyibeiyixiezhongyaodeshuxuezazhi(liru inventiones mathematicae)shangdelunwenhegailingyudingjianzhuanjiabarbothefenley(arxiv:1512.06341)suoyinyong。

 

所属学科: 基础数学

 

论文地址:

 

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