| 常曲率空间中极小子流形的稳定性 |
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| 引用本文： | 王文涛.常曲率空间中极小子流形的稳定性[J].沈阳工业大学学报,1997,19(1):29-33. |
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| 作者姓名： | 王文涛 |
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| 作者单位： | Common Courses Department，SPU |
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| 摘 要： | 利用活动标架法及Ｌａｐｌａｃｉａｎ特征值方法研究了常曲率空间中极小子流形的稳定性。给出了常曲率空间中二维极小子流形的共形度量的高斯曲率之上界估计。证明了常曲率空间中二维极小子流形上一个单连通有界区域为稳定的充分条件
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| 关 键 词： | 黎曼几何 稳定性 特征值 极小子流形 |
Stability of Minimal Submanifolds of Manfold of Constant Curvature |
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| Wang Wentao.Stability of Minimal Submanifolds of Manfold of Constant Curvature[J].Journal of Shenyang University of Technology,1997,19(1):29-33. |
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| Authors: | Wang Wentao |
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| Abstract: | Stabilities of minimal submanifolds were studied by means of methods of moving frame and eigenvalues of the laplacian.Some estimates of gaussian curvatureof conformal metric of 2 dimensional minimal submanifoles immerged in 2 p dimensional manifolds of constant curvature were obtained.Sufficient conditions for a simply connected domain of 2 dimensional minimal submanifold immerged in 2 p dimensional manifold of constant curvature to be stable were proved. |
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| Keywords: | riemannian geometry characteristic value stability minimal submanifolod |
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