是國內(nèi)Finsler幾何的知名專家,因其在Finsler幾何的重要工作,2002年獲教育部自然科學(xué)一等獎。從博士后出站以來共發(fā)表論文46篇,其中SCI收錄19篇,其在科研上的主要成果有:構(gòu)造了從緊流形到緊曲面的大量新的調(diào)和同態(tài)。得到了從拓?fù)淝蛎婊蚱炝餍蔚狡炝餍蔚拇罅啃碌恼{(diào)和映射。提出并系列研究了芬斯勒流形上的調(diào)和映射理論。建立了芬斯勒流形上三類幾何不變量之間的基本關(guān)系。
莫小歡 - 簡介
1961年8月出生。北京大學(xué)數(shù)學(xué)科學(xué)學(xué)院教授
1991年6月杭州大學(xué)博士論文從黎曼面到復(fù)Grassmann流形的調(diào)和映射的構(gòu)造
1993年9月-1995年7月北京大學(xué)數(shù)學(xué)學(xué)院微分幾何專業(yè)博士后
莫小歡 - 主要論著
XiaohuanMo,MinimalsurfaceswithconstantKaehlerangelinthecomplexprojectivespaces,Proc.Amer.Math.Soc.,121(1994),569-571 |
XiaohuanMo,LagrangianharmonicmapsintoCPn,ScirntiaSinica,38(1995),524-532. |
XiaohuanMo,Horizontallyconformalmapsandharmonicmorphisms.J.Chin.Cont.Math.,(1996), |
XiaohuanMo,Lagrangianharmonictwo-spheresinCPnwithhigherordersingularities.ScirntiaSinica,39(1996),583-588. |
XiaohuanMo,OnRiemann-Finslergeometry,Chin.Sci.Bull,43(1998),447-450. |
XiaohuanMo,CharacterizationandstructureofFinslerspaceswithconstantflagcurvature.ScientiaSinica,41(1998),910-917. |
S.GudmundssonandXiaohuanMo,Harmonicmorphismsasunitnormalbundlesofminimalsurfaces,ManuscriptaMathematica,100(1999),323-333. |
XiaohuanMo,FlagcurvaturetensoronaclosedFinslersurface.ResultinMath.,36(1999),149-159. |
XiaohuanMo,NewcharacterizationsofRiemannianspaces,HoustonJournalofMathematics26(2000)517-526. |
XiaohuanMoandC.J.C.Negreiros,(1,2)-symplecticstructuresonflagmanifolds,TohokuMath.J.52(2000),271-282. |
XiaohuanMo,FinslerspaceswithvanishingRiemanniancurvature,Romanianjournalofpureandappliedmathematics46(2001),455-463. |
XiaohuanMo,HarmonicmapsfromFinslermanifolds,IllinoisJournalofMathematics,45(2001),1331-1345 |
XiaohuanMoandZhongminShen,RecentdevelopmentsandsomeopenproblemsinFinslergeometry,Chin.Sci.Bull,46(2001),1059-1060. |
XiaohuanMoandYuguangShi,Anon-existencetheoremofproperharmonicmorphismsbetweenhyperbolicspaces,Geom.Dedicata.93(2002),89-94. |
XiaohuanMo,Harmonicmorphismsandsubmanifoldswithconformalsecondfundamentalforms,GlasgowMath.J.45(2003),143-151. |
XiaohuanMo,Thegeometryofconformalfoliationsandp-harmonicmorphisms,acceptedforpublicationin:Math.Proc.CambridgePhilos.Soc.137(2003). |
XinyueChen,XiaohuanMoandZhongminShen,OntheflagcurvatureofFinslermetricsofscalarcurvature,acceptedforpublicationin:JournaloftheLondonMathematicalSociety.(2003). |
XiaohuanMoandZhongminShen,OnnegativelycurvedFinslermanifoldsofscalarcurvature,acceptedforpublicationin:CanadianMathematicalBulletin(2003). |
XiaohuanMo,OntheflagcurvatureofaFinslerspacewithconstantS-curvature,acceptedforpublicationin:HoustonJournalofMathematics(2003). |
E.LoubeauandX.Mo,PseudohorizontallyweaklyconformalmapsfromRiemannianmanifoldsintoKaehlermanifolds,acceptedforpublicationin:ContributionstoAlgebraandGeometry(2003). |
莫小歡 - 承擔(dān)科研項目
子流形的微分幾何及調(diào)和映射
子流形的微分幾何
芬斯勒空間的調(diào)和映射
芬斯勒幾何
對稱空間中的調(diào)和曲面
芬斯勒幾何
莫小歡 - 榮譽(yù)
2002年:黎曼-芬斯勒流形的幾何和調(diào)和映射 教育部提名,國家科學(xué)技術(shù)獎自然科學(xué)獎一等獎
莫小歡 - 參考資料
http://www.postdoctor.org.cn/excellentpd/new_page_41.htm