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
摘要:
本文主要研究复射影空间 CP
2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 CP
1。
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 → ∞.
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