局部对称黎曼流形中的紧致极小子流形的Ricci曲率

Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (3): 751-756.

• Articles • Previous Articles Next Articles

The Compact Minimal Submanifolds in Locally Symmetric Space

(Department of Mathematics, Teachers College of Huzhou, Zhejiang Huzhou 313000)；(Department of Mathematics and Computer,Ningxia University, Ningxia Yinchuan 750021)

Received:2007-09-17 Revised:2008-11-09 Online:2009-06-25 Published:2009-06-25
Supported by:
浙江省自然科学基金(Y607136)资助

Let N ^n+p be an n+p-dimensional locally symmetric complete Riemannian manifold with sectional curvature K_N satisfies 1/2 < δ ≤ K_N ≤ 1
and M ⁿ be an n-dimensinal compact minimal submanifold in N ^n+p. In this paper, we discuss the Pinching theorem about this sub manifold with the square of the length of the second fundamemtal form and Ricci curvature.

Key words: Locally symmetry, Minimal submanifolds, Totally geodesic

CLC Number:

Cite this article

JI Yong-Jiang, LI Hai-Feng. The Compact Minimal Submanifolds in Locally Symmetric Space[J].Acta mathematica scientia,Series A, 2009, 29(3): 751-756.

share this article

0
/ / Recommend

Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks

URL: http://121.43.60.238/sxwlxbA/EN/

http://121.43.60.238/sxwlxbA/EN/Y2009/V29/I3/751

Trendmd

References

[1] Ejiri N. Compact minimal submanifolds of a sphere with positive Ricci curvature. J Math Soc Japan, 1979: 251--256

[2] 纪永强. 子流形几何. 北京: 科学出版社, 2004

[3] Li A M, Li M. An intrinsic rigidity theorem for minimal submanifolds in a sphere. Arch Mach, 1992, 58

[4] 纪永强.球空间Sⁿ⁺¹(c)中的紧致极小子流形. 数学杂志, 1990, (10): 391--396

[5] Goldberg S I. Curvature and Homology. London: Academic press, 1962

[6] 徐森林, 胡自胜.anti-de Sitter空间中紧致类空超曲面的积分公式及其在常高阶平均曲率下的应用. 数学物理学报, 2007, 27A(2): 302--309

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed

Comments

Recommended 10

[1]	Guo Xiuyun\|Zhao Xianhe. π-quasinormality of the Maximal Subgroups of a Sylow Subgroup in a Local Subgroup[J]. Acta mathematica scientia,Series A, 2008, 28(6): 1222 -1226 .
[2]	Huang Jin; Lü Tao; Zhu Rui. High Accuracy Combination Algorithms for Solving Singular Integral Equations with Hilbert Kernel by Quadrature Methods[J]. Acta mathematica scientia,Series A, 2009, 29(1): 103 -113 .
[3]	Wang Wenxia;Zhang Lingling. Solutions of Initial Value Problems for Second-order Nonlinear Impulsive Integro-differential Equations [J]. Acta mathematica scientia,Series A, 2007, 27(4): 702 -710 .
[4]	Liu Jicheng. A Generalization of Strassen's Theorem for Brownian Motion [J]. Acta mathematica scientia,Series A, 2006, 26(4): 485 -492 .
[5]	Huang Hui ; Fei Pusheng ;Yuan Yuan. The Inverse Problem of Single Photon Emission Computed Tomography[J]. Acta mathematica scientia,Series A, 2008, 28(1): 46 -058 .
[6]	ou liuman;Zhu Siming. Stable Analysis for Dynamic Equations on Time Scales[J]. Acta mathematica scientia,Series A, 2008, 28(2): 308 -319 .
[7]	Zhang Chaolong; Yang Fengjian; Yang Jianfu. Oscillation of Higher Order Nonlinear Functional Differential Equation with Impulses [J]. Acta mathematica scientia,Series A, 2008, 28(1): 188 -200 .
[8]	WANG Wei-Hong, WU Huo-Xiong. Weighted Weak Type Estimates for Commutators of \|Fractional Integrals on Spaces of Homogeneous Type[J]. Acta mathematica scientia,Series A, 2009, 29(3): 553 -563 .
[9]	LI Ji-Cheng, HUANG Ting-Chu. Preconditoned Methords of Z-matrices[J]. Acta mathematica scientia,Series A, 2005, 25(1): 5 -10 .
[10]	WANG Hai-Bin, HUI Bo-Cheng, CHEN Gao-Qiu. The Approximate Third order Moments and Bispectral Density of LTBL Model[J]. Acta mathematica scientia,Series A, 2004, 24(4): 501 -512 .

Abstract
References
Related Articles
Metrics
Comments
Recommended

TOP