關(guān)于Rcc曲率有界的擬共形平坦子流形.pdf

1、河南大學(xué)碩士學(xué)位論文關(guān)于Rcc曲率有界的擬共形平坦子流形姓名：賀慧霞申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：基礎(chǔ)數(shù)學(xué)指導(dǎo)教師：宋鴻藻李起升20000501河南大學(xué)幾何拓?fù)鋵I(yè)碩士學(xué)位畢業(yè)論文20004英文摘要QuasiconformallyFiatSubmanifoldswithBoundedRicciCurvatureABSTRACTInthispaper，westudyquasi—conformallyflatsubmani—foldswithpa

2、rallelmeancurvaturevectorfieldsandquasi—conformallYflatmanifoIdswithconstantscalarcurvatureInpartone，conditionsthatann(n≥3))dimensionalcompletespace—likesubmanifoldwithparallelmeancurvaturevectorfieldinanindefinitespacef

3、ormSy(c)isoftotallyumbilicalarestudiedWegeneralizethetheoremsof[18]fromconformallyflatSubmanif01dstoquasi—conformallyflatsubmanifolds，conharmonicallyflatsubmanifoldsandprojectivelyflatsubmanifoldsOntheotherhand，Goldberga

4、ndWustudiedaconformanllyflatmarlifoldMwithconstantscalarcurvature、whentheRiccicurvatureisofboundedbeloworpositive，theconditionsofMbecomingaconstantcurvaturemanifoldareobtainedInParttwoofthispaper，weconsiderconharmonicall