复射影空间 CP2中辛曲面的平均曲率流
The Mean Curvature Flow of Symplectic Surfaces in the Complex Projective Space CP2
DOI: 10.12677/PM.2020.1011124, PDF, HTML, 下载: 389  浏览: 541  科研立项经费支持
作者: 曹顺娟：浙江农林大学数学系，浙江 杭州
关键词: 辛曲面； 平均曲率流； 曲率积分拼挤； 光滑收敛性；Symplectic Surface； Mean Curvature Flow； Integral Curvature Pinching； Smooth Convergence
摘要: 本文主要研究复射影空间 CP2中辛曲面的平均曲率流，证明了若初始辛曲面满足一定的曲率积分拼挤条件，则平均曲率流将在[0, ∞)上存在光滑解，且当 t → ∞ 时光滑收敛到 CP1。
Abstract: In this paper, we study the mean curvature flow of symplectic surfaces in the complex projective space CP2, and prove that if the initial symplectic surface satisfies certain integral curvature pinching condition, then the mean curvature flow has a smooth solution on [0, ∞), and converges to CP1 as t → ∞.
文章引用：曹顺娟. 复射影空间 CP2中辛曲面的平均曲率流[J]. 理论数学, 2020, 10(11): 1044-1050. https://doi.org/10.12677/PM.2020.1011124

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