局部对称黎曼流形中的超曲面(英文)Hypersurfaces in a locally symmetric manifold with constant mean curvature。
丁顺汉;张剑锋;
摘要(Abstract)：
研究了局部对称黎曼流形中具有常平均曲率超曲面的几何性质,得到了关于其第二基本形式模长平方的拼挤定理.
关键词(KeyWords)： 局部对称;平均曲率;超曲面
基金项目(Foundation): 浙江省科学基金资助项目(102005)
作者(Authors): 丁顺汉;张剑锋;
参考文献(References)：
- [1]Chern S S,D o C arm oM,K obayash i S.M in im a l subm an ifo lds of a sphere w ith second foundm en ta l formof constan t length[M].Functiona l A na lys is and R e lated F ie lds,1970:59-75.
- [2]O kum ura M.Subm an ifo lds and a p inch ing prob lem on the second foundm en ta l vectors[J].T rans.Am er.Soc.,1973,178:285-291.
- [3]Hou Zhonghua.Hypersurfaces in a sphere w ith constan t m ean curvature[J].P roc.A.M.S.,1997,25(4):1193-1196.
- [4]X u Hongw e i.A rig id ity theorem for subm an ifo lds w ith para lla l m ean curvature in a sphere[J].A rch.M ath.,1993,61:489-496.
- [5]Hou Zhoughua.A p inch ing prob lem on subm an ifo lds w ith para lle l m ean curvature vector in a sphere[J].K oda i.M ath.J.,1998,21:35-45.
- [6]Shu i N a ix iang,W u G uoq iang.M in im a l hypersurface of a loca lly symm etric R iemm ian m an ifo ld[J].Ch ina A nn.M ath.,1995,16A(6):687-691.