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THE SURFACE AREA PRESERVING MEAN CURVATURE FLOW IN QUASI-FUCHSIAN MANIFOLDS
【摘要】 In this paper,we consider the surface area preserving mean curvature flow in quasi-Fuchsian 3-manifolds.We show that the flow exists for all times and converges exponentially to a smooth surface of constant mean curvature with the same surface area as the initial surface.
【Abstract】 In this paper,we consider the surface area preserving mean curvature flow in quasi-Fuchsian 3-manifolds.We show that the flow exists for all times and converges exponentially to a smooth surface of constant mean curvature with the same surface area as the initial surface.
【关键词】 quasi-Fuchsian 3-manifold；
parabolic equation；
maximum principle；
【Key words】 quasi-Fuchsian 3-manifold； parabolic equation； maximum principle；
【Key words】 quasi-Fuchsian 3-manifold； parabolic equation； maximum principle；
【基金】 supported by NSFC(10971055,11171096);RFDP (20104208110002);Funds for Disciplines Leaders of Wuhan(Z201051730002);the Scientific Research Project of Jianghan University(2011017)
- 【文献出处】 Acta Mathematica Scientia ,数学物理学报(英文版) , 编辑部邮箱 ,2012年06期
- 【分类号】O186.11
- 【下载频次】20