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《Journal of Anhui Normal University(Natural Science)》 2004-03
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ON THE SUBMANIFOLDS WITH PARALLEL MEAN CURVATURE IN A EIEMANNIAN MANIFOLD OF QUASI CONSTANT CURVATURE

MEI Chun-liang,ZHANG Ma-biao(Department of Mathematics, Lishui Teachers' Collgeg, Zhejiang, Lishui 323000,China)  
The n-submanifolds with parallel mean curvature in a Riemanman manifold of quasi constant curvature are discussed. A formula of simons' type is obstained.∫_(M~n){(1+12sgn(p-1)+n2n-1)σ~2-[na+12(b-|b|)(n+1)](σ-nH~2)+n(n-1)b~2-(n2n-1+1)n~2H~4]~*1≥0
【CateGory Index】: O189.31
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【Citations】
Chinese Journal Full-text Database 4 Hits
1 HONG Shen hua 1,\ SONG Wei dong 2 (1.Party College of Maanshan Committe, 243011, Maanshan, Anhui, China; 2. College of Mathematics and Computer Science, Anhui Narmal University, 241000, Wuhu, Anhui, China);ON THE 2-HARMONIC HYPERSURFACES IN A LOCALLY SYMMETRIC SPACE[J];Journal of Anhui Normal University(Natural Science);2000-04
2 ZHANG Jian\|feng ( Dept.of Math.,Lishui Teacher College,Lishui 323000,China) \;;A rigidity theorem on compact submanifolds in a locally symmetric,conformally flat Riemannian maniflod[J];Applied Mathematics A Journal of Chinese Universities;2002-04
3 SONG Wei-dong (Department of Mathematics, Anhui Normal University, Wuhu 241000, China);On the Submanifolds with Parallel Mean Curvature Vector in Locally Symmetric Space[J];Acta Scientiarium Naturalium Universitatis Jilinensis;2002-02
4 Zheng Yongai(Industrial College, Yangzhou University, 225006);Pseudo-Umbilical Submanifolds in a Riemannian Manifold of Quasi Constant Curvature[J];JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION;1999-01
【Co-citations】
Chinese Journal Full-text Database 9 Hits
1 SONG Wei-dong,PAN Xue-yan(College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, China);ON THE HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN A QUASI CONSTANT CURVATURE SPACE[J];Journal of Anhui Normal University(Natural Science);2004-03
2 LIU Guo-bi(Anhui vocational college of electronics and information technology,Bengbu Anhui 233030);SUBMANIFOLDS WITH PARALLEL MEAN CURVATURE VECTOR IN LOCALLY SYMMETRIC SPACES[J];Journal of Chaohu College;2007-06
3 DING Shunhan(Department of Mathmatics, Lishui Teachers University, Lishui 323000,China);Submanifolds with Parallel Mean Curvature on a Unit Sphere[J];Journal of Fujian Normal University(Natural Science);2003-03
4 LI Ming-tu(Collage of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China);On Compact Pseudo-umbilical Submanifolds in Locally Symmetric Riemannian Manifolds of Quasi-constant Curvature[J];Journal of Gansu Sciences;2008-01
5 LI Ming-tu(School of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China);Totally-umbilical Submanifolds in a Riemannian Manifold of Quasi Constant Curvature[J];Journal of Gansu Lianhe University(Natural Science Edition);2007-06
6 HONG Tao-qing,ZHANG Jian-feng(Department of Mathematics,Lishui College,Lishui 323000,China);2-Harmonic Space-like Submanifolds in de Sitter Space[J];Journal of Hangzhou Teachers College(Natural Sciences Edition);2006-05
7 MEI Chun-liang,ZHANG Ma-biao(Dept.of Math.,Lishui College,Lishui 323000,China);On pseudo-umbilical submanifolds in a locally symmetric conformally flat riemannian manifold[J];Journal of Shangqiu Teachers College;2006-05
8 LIU Jian-cheng,DU Li(College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,Gansu,China);A note on the 2-harmonic submanifolds of quasi constant curvature spaces[J];Journal of Northwest Normal University(Natural Science);2008-02
9 YANG Xing-yan(Guangdong Engineering University, Guanzhou 510006,china);A rigid theorem about second fundamental form modula length square in the local symmetrical space[J];Journal of Xinyu College;2006-04
【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 Sun Huafei(Dept. of Math. Northeast University of Technology, Shen Yang);The Submanifolds with Parallel Mean Curvature Vector in a Locally Symmetric and Conformally Flat Riemannian Manifold[J];Chinese Quarterly Journal of Mathematics;1992-01
2 Hu Zejun; Sun Zhenzu(Dept. of Math., Zhengzhou University, Zhengzhou 450052);Submanifolds with Parallel Mean Curvature in Spaces of Constant Curvature[J];JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION;1996-01
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