| 三维拟常曲率流形中极小曲面的稳定性 |
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| 引用本文： | 王文涛. 三维拟常曲率流形中极小曲面的稳定性[J]. 沈阳工业大学学报, 1991, 0(2) |
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| 作者姓名： | 王文涛 |
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| 作者单位： | 沈阳工业大学基础部 |
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| 摘 要： | 本文利用活动标架法与Laplacian的特征值方法研究了极小曲面的稳定性。给出了拟常曲率流形中极小曲面的共形度量的高斯曲率之上界估计。证明了拟常曲率流形中极小曲面的一个单连通区域为稳定的一些充分条件。
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| 关 键 词： | 黎曼几何 极小曲面 稳定性 特征值 |
Stability of minimal surfaces |
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| Wang Wentao. Stability of minimal surfaces[J]. Journal of Shenyang University of Technology, 1991, 0(2) |
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| Authors: | Wang Wentao |
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| Abstract: | In this paper, stabilities of minimal surfaces were studies by means of methods of moving frame and eigenvalues of the Laplacian. Some estimates of Gaussian curvature of conformal metric of mini mal surfaces immerse in the manifold of quasi-constant curvature were obtained. Some sufficient condi tion for a simply-connected domain of minimal surfaces immerse in manifold of quasi-constant curva ture to be stable were obtained. |
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| Keywords: | Riemannian geometry minimal surface stability characteristic value |
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