资源描述：
《the imbedding problem for riemannian manifolds》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。
1、TheImbeddingProblemforRiemannianManifoldsJohnNashTheAnnalsofMathematics,2ndSer.,Vol.63,No.1.(Jan.,1956),pp.20-63.StableURL:http://links.jstor.org/sici?sici=0003-486X%28195601%292%3A63%3A1%3C20%3ATIPFRM%3E2.0.CO%3B2-WTheAnnalsofMathematicsiscurrentlypublishedbyAnnalsofMathematics.Yo
2、uruseoftheJSTORarchiveindicatesyouracceptanceofJSTOR'sTermsandConditionsofUse,availableathttp://www.jstor.org/about/terms.html.JSTOR'sTermsandConditionsofUseprovides,inpart,thatunlessyouhaveobtainedpriorpermission,youmaynotdownloadanentireissueofajournalormultiplecopiesofarticles,a
3、ndyoumayusecontentintheJSTORarchiveonlyforyourpersonal,non-commercialuse.Pleasecontactthepublisherregardinganyfurtheruseofthiswork.Publishercontactinformationmaybeobtainedathttp://www.jstor.org/journals/annals.html.EachcopyofanypartofaJSTORtransmissionmustcontainthesamecopyrightnot
4、icethatappearsonthescreenorprintedpageofsuchtransmission.TheJSTORArchiveisatrusteddigitalrepositoryprovidingforlong-termpreservationandaccesstoleadingacademicjournalsandscholarlyliteraturefromaroundtheworld.TheArchiveissupportedbylibraries,scholarlysocieties,publishers,andfoundatio
5、ns.ItisaninitiativeofJSTOR,anot-for-profitorganizationwithamissiontohelpthescholarlycommunitytakeadvantageofadvancesintechnology.FormoreinformationregardingJSTOR,pleasecontactsupport@jstor.org.http://www.jstor.orgSatOct2008:08:342007ANNALSOFMATHEA~ATICBVol.63,No.1,January,195ePrint
6、edinU.S.A.THEIMBEDDINGPROBLEMFORRIEMANNIANMANIFOLDSBYJOHNNASH(ReceivedOctober29,1954)(RevisedAugust20,1955)IntroductionandremarksHistory.TheabstractconceptofaRiemannianmanifoldistheresultofanevolutioninmathematicalattitudes[I,21.Inanearlierperiodmathematiciansthoughtmoreconcretelyo
7、fsurfacesin3-space,ofalgebraicvarieties,andoftheLobatchevskymanifolds.Asthemoreabstractviewofmanifoldscameintofavoraquestionnaturallyarose:TowhatextentaretheabstractRiemannianmanifoldsamoregeneralfamilythanthesub-manifoldsofeuclideanspaces?Thisquestionhasbeenconsideredinvariousspec
8、ializationsandwithassorted
