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国家自然科学基金(10271106): 作品数：11被引量：16H指数：2; 导出分析报告; 相关作者：王琪张彦沈一兵汪悦更多>>; 相关机构：浙江大学更多>>; 相关期刊：《吉林大学学报（理学版）》《Acta Mathematica Sinica,English Series》《Science China Mathematics》《武汉大学学报（理学版）》更多>>; 相关主题：RICCI曲率紧致极小子流形拼挤定理FLATMANIFOLD更多>>; 相关领域：理学自然科学总论更多>>

局部对称共形平坦黎曼流形中紧致极小子流形的一个刚性定理被引量：3: 《Journal of Mathematical Research and Exposition》2005年第3期474-478,共5页王琪; 国家自然科学基金(10271106); 本文研究局部对称共形平坦黎曼流形中紧致极小子流形,得到了这类子流形第二基本形式模长平方关于外围空间Ricci曲率的—个拼挤定理,推广了文[1]中的结果.; 关键词：局部对称共形平坦紧致极小子流形 RICCI曲率

LOOP GROUP ACTIONS AND THE RIBAUCOUR TRANSFORMATIONS FOR FLAT LAGRANGIAN SUBMANIFOLDS: 《Chinese Annals of Mathematics,Series B》2005年第3期347-360,共14页XIAQIAOLING SHENYIBING; Project supported by the National Natural Science Foundation of China (No.10271106)the Education Commission of Zhejiang Province of China (No.20030342).; The Ribaucour transformations for flat Lagrangian submanifolds in Cn and CPn via loop group actions are given. As a consequence, the authors obtain a family of new flat Lagrangian submanifolds from a given one via a p...; 关键词：Lagrangian submanifold Loop group action Darboux transformation Ribaucour transformation Permutability formula

On Complete Hypersurfaces with Constant Mean Curvature and Finite L^p-norm Curvature in R^(n+1): 《Acta Mathematica Sinica,English Series》2005年第3期631-642,共12页Yi Bing SHEN Xiao Hua ZHU; The first author is partially supported by the National Natural Science Foundation of China (No.10271106);The second author is partially supported by the 973-Grant of Mathematics in China and the Huo Y.-D. fund.; By using curvature estimates, we prove that a complete non-compact hypersurface M with constant mean curvature and finite L^n-norm curvature in R^1＋1 must be minimal, so that M is a hyperplane if it is strongly stabl...; 关键词：Constant mean curvature Strong stability L^p-norm curvature

SUBMANIFOLDS IN S^(n+p) WITH PARALLEL MBIUS FORM: 《Applied Mathematics(A Journal of Chinese Universities)》2004年第4期405-416,共12页XiaQiaoling; the National Natural Science Foundation of China ( 1 0 2 71 1 0 6) ,the Natural ScienceFoundation of Zhejiang Province ( M1 0 30 4 7) and the Education Department of Zhejiang Province( 2 0 0 30 342 ); In this paper,the rigidity theorems of the submanifolds in S n+p with parallel Mobius form and constant Mobius scalar curvature are given.; 关键词：Mobius submanifold Mobius form Blaschke form scalar curvature.

de Sitter空间中常曲率的类空超曲面被引量：1: 《吉林大学学报（理学版）》2004年第4期494-498,共5页汪悦; 国家自然科学基金(批准号:10271106).; 研究deSitter空间中具有常数量曲率的类空超曲面,将Cheng Yau的自共轭算子□作用在对称张量T上,得到了这类超曲面关于第二基本形式模长平方的一个拼挤定理,加强了已有的相应结果.; 关键词：SITTER空间类空超曲面共轭算子常数量曲率第二基本形式模长平方拼挤定理张量对称

ON MINIMAL IMMERSIONS OF R^2 INTO THE NEARLY KAHLER S^6: 《Acta Mathematica Scientia》2004年第3期349-360,共12页沈一兵贺群; Project supported by the National Natural Science Foundation of China (10271106); In terms of the almost complex affine connection and moving unitary frames, all totally rael minimal immersions from R-2 into the nearly Kahler S-6 axe determine explicitly. Moreover, the complete flat almost complex ...; 关键词：minimal immersion the nearly Kahler S-6 flat totally real surface

Weierstrass Type Representation of Willmore Surfaces in S^n: 《Acta Mathematica Sinica,English Series》2004年第6期1029-1046,共18页Qiao Ling XIA Yi Bing SHEN; Project supported by the National Natural Science Foundation of China(No.10271106);the Education Hall of Zhejiang Province(No.20030342); In this paper,we reformulate the Euler-Lagrange equations of Willmore surfaces in S^n as the flatness of a family of certain loop algebra-valued 1-forms.Therefore we can give the Weierstrass type representation of con...; 关键词：Willmore surfaces Extended lift of a conformal Willmore immersion Loop group Weierstrass type representation Minimal surface

Second variation of harmonic maps between Finsler manifolds被引量：10: 《Science China Mathematics》2004年第1期39-51,共13页SHEN Yibing ZHANG Yan; This work was supported by the National Natural Science Foundation of China(Grant No.10271106).; The first and second variation formulas of the energy functional for a nondegenerate map between Finsler manifolds is derived. As an application, some nonexistence theorems of nonconstant stable harmonic maps from a F...; 关键词：FINSLER manifold HARMONIC map SECOND variation.

子流形对外围空间的一个拼挤定理: 《武汉大学学报（理学版）》2003年第5期553-555,共3页王琪; 国家自然科学基金资助项目(10271106); 首先得到一个推广的Simons型积分不等式,然后用它给出共形平坦黎曼流形中紧致极小子流形对外围空间的一个拼挤定理.; 关键词：共形平坦黎曼流形紧致极小子流形拼挤定理 Simons型积分不等式 RICCI曲率

Finsler流形间调和映射的第2变分被引量：2: 《中国科学（A辑）》2003年第6期610-620,共11页沈一兵张彦; 国家自然科学基金资助项目(批准号:10271106); 给出了Finsler流形间非蜕化映射的能量泛函的第1和第2变分公式,并利用变分公式得到了从Finsler流形到Riemann流形的非常值稳定调和映射的若干不存在性定理.; 关键词：FINSLER流形调和映射第2变分非蜕化映射 RIEMANN流形

国家自然科学基金(10271106)