期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

THE SURFACE AREA PRESERVING MEAN CURVATURE FLOW IN QUASI-FUCHSIAN MANIFOLDS

THE SURFACE AREA PRESERVING MEAN CURVATURE FLOW IN QUASI-FUCHSIAN MANIFOLDS
在线阅读 下载PDF
导出
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. 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.
作者 田大平 李光汉 吴传喜
机构地区 School of Mathematics and Computer Science School of Mathematics and Computer Science School of Mathematics and Computer Science
出处 《Acta Mathematica Scientia》 SCIE CSCD 2012年第6期2191-2202,共12页 数学物理学报（B辑英文版）
基金 supported by NSFC(10971055,11171096) RFDP (20104208110002) Funds for Disciplines Leaders of Wuhan(Z201051730002) the Scientific Research Project of Jianghan University(2011017)
关键词 quasi-Fuchsian 3-manifold parabolic equation maximum principle quasi-Fuchsian 3-manifold parabolic equation maximum principle
分类号 O186.11 [理学—基础数学]
  • 相关文献

参考文献22

  • 1Bartnik R. Existence of maximal surfaces in asymptotically fiat spacetimes. Comm Math Phys, 1984, 94(2): 155-175.
  • 2Cabezas-Rivas E, Miquel V. Volume preserving mean curvature flow in the hyperbolic space. Indiana Univ Math J, 2007, 56(5): 2061-2086.
  • 3Cabezas-Rivas E, Sinestrari C. Volume-preserving flow by powers of the ruth mean curvature. Cale Var, 2010. 38:441-469.
  • 4Canary R D, Epstein D B A, Green P L. Notes on notes of Thurston//Canary R, Marden A, Epstein D B A, eds. Fundamentals of Hyperbolic Geometry: Selected Expositions. London Math Soc Lecture Note Ser, 328. Cambridge: Cambridge Univ Press, 2006:1-115.
  • 5Chow B, Knopf D. The Ricci flow: An Introduction. Mathematical Surveys Monographs, 110. Providence, RI: American Mathematical Society, 2004.
  • 6Ecker K, Huisken G. Parabolic methods for the constraction of spacelike slices of prescribed mean curvature in cosmological spacetimes. Comm Math Phys, 1991, 135(3): 595-613.
  • 7Ecker K. Mean curvature flow of spacelike hypersurfaces near null initial data. Comm Anal Geom, 2003, 11(2): 181-205.
  • 8Hamilton R S. Three-manifolds with positive Ricci curvature. J Diff Geom, 1982, 17(2): 255-306.
  • 9Huisken G. The volume preserving mean curvature flow. J Reine Angew Math, 1987, 382:35--48.
  • 10Huisken G. Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature. Invent Math, 1996, 84(3): 463-480.
Acta Mathematica Scientia
2012年 第6期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部