de Sitter空间Sn+11(c)中标准数量曲率为c的类空超曲面
Space-like Hypersurface With Constant Normalized Scalar Curvature c in a de Sitter Space Sn+11(c)
摘要
得到deSitter空间Sn+11(c)中标准数量曲率为常数c的类空超曲面的一个定理:设Mn是de Sitter空间Sn+11(c)中标准数量曲率r与Sn+11(c)的截面曲率c相等的n维(n>2)紧致的类空超曲面,则Mn是全测地超曲面.
出处
《绍兴文理学院学报》
2003年第9期1-3,24,共4页
Journal of Shaoxing University
参考文献6
-
1[1]Zheng Y, Space-like hypersurfaces with constant csalar curvature in the de Sitter space[J].Diff.Geom.Appl.1996,6:51-54.
-
2[2]Zheng Y, On space-like hypersurfaces in the de Sitter space[J].Ann.of Global Analysis and Geom.1995,13:317-321.
-
3[3]Cheng.Q.M,Ishikawa,S.Spacelike hypersurfaces with constant scalar curvature[J].Manuscripta math.1998,95:499-505.
-
4[4]Cheng S.Y,Yau S.T.Hypersurfaces of constant scalar curvature[J].Math.Ann,1997,225:195-204.
-
5[5]Ishihara T, Maximal spacelike submanifolds of a pseudo-Riemannian space of constant curvature[J].Michigan Math.1988,35:345-352.
-
6[6]Santos W, Submanifolds with parallel mean curvature vector in spheres[J].Thoku Math.J.[J].1994,46:405-415.
-
1宣满友.de Sitter空间S1^n1＋1（c）中标准数量曲率为c的类空超曲面[J].绍兴文理学院学报（自然科学版）,2003,23(9):1-3.
-
2徐森林,庞华栋.The Isospectrum Problem of Compact Hypersurfaces on a Sphere[J].Chinese Quarterly Journal of Mathematics,2002,17(2):1-6.
-
3舒世昌,刘三阳.双曲空间H^(n+p)(-1)中具常数量曲率的完备子流形(英文)[J].数学进展,2006,35(2):155-166. 被引量：4
-
4宣满友.非定空间形式N_p^(n+p)(c)中常数量曲率的类空子流形[J].浙江大学学报（理学版）,2002,29(4):373-379. 被引量：1
-
5向彩容,陈群.具有非零Killing旋量的Spin流形中的子流形几何[J].数学年刊（A辑）,2008,29(5):651-662.
-
6纪永强,徐森林.Minimal Submanifolds in Locally Symmetric Spaces[J].Northeastern Mathematical Journal,2005,21(1):61-69. 被引量：6
-
7蒋声.双曲空间中的共形平坦级小超曲面[J].Journal of Mathematical Research and Exposition,1997,17(3):343-346.
-
8舒世昌,曹娟娟.S^n中子流形的Moebius特性[J].纯粹数学与应用数学,2010,26(1):12-22.
