| SUBMANIFOLDS OF PRODUCT RIEMANNIAN MANIFOLD |
| |
| 作者姓名： | 徐森林 倪轶龙 |
| |
| 作者单位： | Department of Mathematics. University of Science and Technology of China，Heifei 230026，China |
| |
| 摘 要： | 1IntroductionLetUandVbeRiemannianmanffolds,withthedimensionn1andn2respectively.UxVistheRiemannianproductofUandV.WedenotebyPandQtheprojectionmappingsofT(UxV)toTUaildTVrespectively.ThenwehaveWeputJ=P-Q.ItiseasytoseethatJ~=I.WedefineaRiemannianmetricofUxVbyg(X,Y)==g1(PX,PY) g2(QX,QY),wllereg1andg2areRiemannia11metricofUandVrespectively.ItfollowsthatBy7wedellotetheg'sLevi-Civitaconnection.ThenwecaneasilyseethatInfact,Frollltlledefillitiollofg,wecangetthatUalldVareallgeodesicsub…
|
SUBMANIFOLDS OF PRODUCT RIEMANNIAN MANIFOLD |
| |
| XU Senlin,Ni Yilong.SUBMANIFOLDS OF PRODUCT RIEMANNIAN MANIFOLD[J].Acta Mathematica Scientia,2000,20(2). |
| |
| Authors: | XU Senlin Ni Yilong |
| |
| Abstract: | This paper discusses submanifolds of product Riemannian manifold, and provesthat an invariant submanifold of product Riemanman manifold can be written as a production. |
| |
| Keywords: | Product manifold isometric |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
