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若干演化为球面的曲率流PDF|Epub|txt|kindle电子书版本网盘下载
- 郭顺滋 著
- 出版社： 北京：科学出版社
- ISBN：9787030568915
- 出版时间：2018
- 标注页数：209页
- 文件大小：20MB
- 文件页数：223页
- 主题词：曲率－研究－英文
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图书目录
Chapter1 Preliminary1
1.1 Notations1
1.2 Some useful properties4
1.3 Graphical submanifolds7
1.4 Interior Holder estimates10
Chapter2 Hβ-flow for h-convex Hypersurfaces in H n k＋113
2.1 Introduction and main results13
2.2 Short-time existence and evolution equations16
2.3 Preserving h-convex22
2.4 Long-time existence27
2.5 Contraction to a point32
Chapter3 Hβ-flow for Pinched Hypersurfaces in H n k＋134
3.1 Introduction34
3.2 Preserving pinching of curvature38
3.3 The pinching estimate47
3.4 The normalized equations51
3.5 Convergence to a unit geodesic sphere55
3.6 Exponential convergence63
Chapter4 Volume-preserving Hβ m-flow in H n k＋166
4.1 Introduction66
4.2 Short-time existence and evolution equations71
4.3 Preserving pinching78
4.4 Upper bound on F84
4.5 Long-time existence93
4.6 Exponential convergence to a geodesic sphere103
Chapter5 φ（H）-flow in Rn＋1107
5.1 Introduction and main results107
5.2 Short-time existence and evolution equations111
5.3 Long-time existence115
5.4 Preserving convexity118
Chapter6 φ（H）-flow in H n k＋1125
6.1 Introduction and main results125
6.2 Short-time existence and evolution equations128
6.3 Preserving h-convex133
6.4 Long-time existence139
6.5 Contraction to a point145
Chapter7 Mixed Volume Preserving Fβ-flow in Rn＋1146
7.1 Introduction and main results146
7.2 Short-time existence and evolution equations151
7.3 Preserving pinching155
7.4 Upper bound on φ（F）164
7.5 Long-time existence169
7.6 Exponential convergence to the sphere175
Chapter8 Forced MCF of Submanifolds in Rn＋p184
8.1 Introduction184
8.2 Evolution equations189
8.3 Relationship with the mean curvature flow191
8.4 Asymptotic behavior of submanifolds194
Bibliography201
编后记209