| 赵亮.平均曲率流下拉普拉斯算子的特征值[J].数学年刊A辑,2009,30(4):539~544 |
| 平均曲率流下拉普拉斯算子的特征值 |
| Eigenvalues of Laplacian Operator Under Mean Curvature Flow |
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| DOI： |
| 中文关键词: 平均曲率流 特征值 单调非减 单调非增 |
| 英文关键词:Mean curvature flow, Eigenvalue, Nondecreasing, Nonincreasing |
| 基金项目: |
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| 中文摘要: |
| 考虑紧的、一致凸的n维无边曲而光滑地进入到具有常曲率的黎曼流形中,得到了平均曲率流下拉普拉斯算子特征值的发展方程,并且构造了一些沿着平均曲率流单调的几何量. |
| 英文摘要: |
| Consider a compact, uniformly convex n-dimensional surface without boundary,
which is smoothly immersed in a Riemannian manifold with constant curvature. The evo-
lution of the eigenvalues of the Laplacian under mean curvature flow is derived, then some
monotonic geometry quantities along mean curvature flow are given. |
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