Lectures on Mean Curvature Flows

Lectures on Mean Curvature Flows
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DOI:
10.1090/amsip/032
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发表时间:
2002-09
期刊:
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影响因子:
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通讯作者:
Xiping Zhu
Xiping Zhu
中科院分区:
其他
文献类型:
--
作者:
Xiping Zhu

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凸曲线的曲线缩短流、凸超曲面曲率收缩的短时存在性及演化方程嵌入曲线曲面的演化(I)嵌入曲线曲面的演化(II)嵌入曲线曲面的演化(III)平均凸曲面的凸性估计Li-Yau估计和第II类奇点压缩黎曼流形中收缩凸超曲面的平均曲率流孤立引力系统质心的定义参考文献[1]。
The curve shortening flow for convex curves The short time existence and the evolution equation of curvatures Contraction of convex hypersurfaces Monotonicity and self-similar solutions Evolution of embedded curves or surfaces (I) Evolution of embedded curves and surfaces (II) Evolution of embedded curves and surfaces (III) Convexity estimates for mean convex surfaces Li-Yau estimates and type II singularities The mean curvature flow in Riemannian manifolds Contracting convex hypersurfaces in Riemannian manifolds Definition of center of mass for isolated gravitating systems References Index.