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(熊革)Convex bodies with identical John and LYZ ellipsoids
发布时间: 2016-11-29        浏览次数: 8879

论文题目: Convex bodies with identical John and LYZ ellipsoids

论文作者: Zou Du, Xiong Ge

发表刊物: International Mathematics Research Notices (IMRN)

成果介绍:

王者体育 benwenjiejueletutijihezhongdeyigezhongyaowenti: dangtutimanzushenmetiaojianshi, qijohn tuoqiuyu lyz tuoqiushiyizhide? zheigewentiyouzhumingtutijihexuejia、niuyuedaxuezhanggaoyong(zhang  gaoyong)jiaoshou 2000niantichu。

王者体育 john tuoqiushitutijihezhongdeyigejibenjiheti,youqishijohn tezhengdingliyufenxizhongzhumingdebrascamp-liebbudengshijieheqilaizaijianlifanxiangdefangshedengzhoubudengshizhongqidaoleguanjiandezuoyong。lyztuoqiuyouniuyuedaxuee. lutwak, d. yang heg. zhang sanweijiaoshou2000nianhezuofabiaozaiduke math. j. shangdewenzhangshouxianfaxianerdeming,youqudeshitayujingdianlixuezhongdeguanxingtuoqiu(youjiaolegendre tuoqiu)shiduioude,erqieyufisher xinxijuzhenmiqiexiangguan。

benwenchedijiejueleshangshuwenti,jichulejigejianjiedechongyaotiaojian,bingqiezhengminglesuofenlichudetutileizaihausdorff duliangxiashiwanbeide。zuoweiyingyong,wangzhetiyutuiguangle f.schuster yu m.weberndorfer 2012nianhezuofabiaozaij. differential geometry shangdegongzuo, jianlile3geyangedefanxiangfangshedengzhoubudengshi。

zheiyigongzuoshoudaoshengaozhuanjiadegaoduhaoping。piru,“... the result gives a simple necessary and sufficient condition for convex bodies with identical john and lyz ellipsoids. it is beautiful and important…”;“... the paper under review is without a doubt a very important contribution to convex geometric analysis. its two main results will undoubtedly be tremendously useful to future researchers working on problems from the lp theory as well as the orlicz theory of convex bodies. …”。

所属学科: 基础数学,凸体几何

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